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Synonyms for Heavy (same or very similar meaning)

WordNet sense 1 (morally bad in principle or practice):
wicked, wicked

WordNet sense 2 (permitting little if any light to pass through because of denseness of matter):
impenetrable

WordNet sense 3 (relatively dense in consistency):
thick

WordNet sense 4 (excessive in behavior):
intemperate

WordNet sense 5 (full and loud and deep):
sonorous

WordNet sense 6 ((of sound) having marked depth and body):
full

WordNet sense 7 (given to excessive indulgence of bodily appetites especially for intoxicating liquors):
hard

WordNet sense 8 (characterized by or given to yielding to the wishes of someone ):
indulgent

WordNet sense 9 (of great gravity or crucial import; requiring serious thought):
grievous, grave

WordNet sense 10 (of great significance or value):
of import

WordNet sense 11 (slow and laborious because of weight):
lumbering

WordNet sense 12 ((of movement) lacking ease or lightness):
heavy-footed

WordNet sense 13 (marked by intense physical force):
big

WordNet sense 14 (severe):
harsh

WordNet sense 15 (weighing heavily on the spirit; causing anxiety or worry):
weighty

WordNet sense 16 (weighing heavily on the senses or spirit):
oppressive

WordNet sense 17 (made heavy or weighted down with weariness):
leaden, weighted

WordNet sense 18 (not easily borne; wearing):
burdensome, onerous

WordNet sense 19 (designed for heavy work):
heavy-duty

WordNet sense 20 (consisting of great mass; containing a great quantity of matter):
massive

WordNet sense 21 (of considerable weight and size):
hefty

WordNet sense 22 (having high relative density or specific gravity):
dense

WordNet sense 23 (digested with difficulty):
indigestible

WordNet sense 24 (full of; bearing great weight):
weighed down

WordNet sense 25 (usually describes a large person who is fat but has a large frame to carry it):
fleshy, overweight

WordNet sense 26 (having much flesh (especially fat)):
fat

WordNet sense 27 (having great mass and weight and unwieldiness):
ponderous

WordNet sense 28 (requiring or showing effort):
labored, laboured

WordNet sense 29 (characterized by toilsome effort to the point of exhaustion; especially physical effort):
arduous, backbreaking, grueling, gruelling, laborious, punishing, toilsome, operose

WordNet sense 30 (lacking in liveliness or animation):
dull

WordNet sense 31 ((of sleep) deep and complete):
profound, sound, wakeless

WordNet sense 32 (relatively deep or strong; affecting one deeply):
deep

WordNet sense 33 ((used of soil) compact and fine-grained):
clayey, cloggy

WordNet sense 34 (darkened by clouds):
sullen, threatening, lowering

WordNet sense 35 (full of or covered with clouds):
cloudy

WordNet sense 36 (slowly as if burdened by much weight):
heavily

WordNet sense 37 (in an advanced stage of pregnancy):
expectant, gravid, great, large, enceinte, with child

WordNet sense 38 (carrying developing offspring within the body or being about to produce new life):
pregnant


From the ODE community, based on WordNetadd/edit