The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  1  2  4  1  0  1  4  1  6  0  4  1  2  2  2  1  1  1  6  6  6  0  1  1  4  1  1  1  6  1  0  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  2  3  1  0  0  5  1  2  7  1  2  6  1  2  0  5  1  2  1  6  0  0  4  3  1  4  6  6  6  1  6  5  1  5  7  3  1  3  1  2  1  7  5  5  5  5  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  1  1  1  0  1  1  2  3  2  3  2  3  1  0  2  3  1  0  3  1  3  6  0  1  1  3  2  2  1  1  1  3  0  1  1  2  0  0  1  3  1  3  2  0  1  0  2  1  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  2  0  6  0  6  2  0  2  2  0  2  0  4  2  6  2  4  4  2  6  2  4  6  4  0  0  6  2  2  2  0  4  2  4  6  2  4  2  4  6  2  2  6  2  4  6  2  6  0  4  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  0  4  0  4  0  4  0  0  4  0  0  4  0  0  0  4  0  4  4  0  4  4  4  0  0  4  4  0  0  0  4  4  4  4  4  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  4  0  4  4  0  4  0  4  0  4  4  4  0  0  0  4  0  0  0  4  4  0  4  0  0  4  0  4  0  0  4  4  4  4  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  4  4  0  0  0  0  4  0  4  4  0  0  4  4  0  4  4  4  0  4  0  4  0  4  0  0  4  4  4  4  4  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  4  0  0  0  4  0  0  4  0  4  0  4  0  0  0  4  4  0  4  0  0  4  0  4  0  4  0  4  0  4  0  4  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  4  4  4  0  4  0  0  4  0  4  4  4  4  0  0  0  4  4  4  4  4  0  4  0  0  4  0  4  0  4  0  0  4  4  0  0  0  0  4  4  0  4  4  4  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

generates a code of length 73 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+5x^40+14x^41+27x^42+58x^43+59x^44+162x^45+113x^46+398x^47+158x^48+738x^49+301x^50+1100x^51+331x^52+1230x^53+369x^54+1060x^55+359x^56+762x^57+160x^58+386x^59+84x^60+182x^61+97x^62+174x^63+273x^64+332x^65+967x^66+998x^67+2151x^68+2136x^69+4653x^70+3970x^71+6116x^72+5282x^73+6605x^74+4100x^75+4393x^76+2124x^77+2342x^78+978x^79+844x^80+340x^81+269x^82+160x^83+115x^84+180x^85+120x^86+366x^87+184x^88+772x^89+326x^90+1072x^91+340x^92+1168x^93+341x^94+1138x^95+307x^96+810x^97+148x^98+366x^99+119x^100+130x^101+40x^102+60x^103+24x^104+22x^105+12x^106+8x^108+5x^110+1x^112+1x^114

The gray image is a code over GF(2) with n=292, k=16 and d=80.
This code was found by Heurico 1.16 in 99.2 seconds.