The generator matrix

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

generates a code of length 81 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+6x^40+6x^41+38x^42+60x^43+57x^44+134x^45+96x^46+278x^47+125x^48+490x^49+170x^50+724x^51+247x^52+852x^53+247x^54+986x^55+265x^56+904x^57+294x^58+740x^59+189x^60+552x^61+142x^62+262x^63+112x^64+104x^65+26x^66+26x^67+25x^68+50x^69+81x^70+98x^71+225x^72+474x^73+622x^74+1388x^75+1664x^76+3196x^77+3172x^78+5708x^79+4438x^80+6832x^81+4516x^82+5682x^83+3206x^84+3384x^85+1670x^86+1356x^87+634x^88+406x^89+174x^90+94x^91+68x^92+44x^93+30x^94+58x^95+49x^96+114x^97+88x^98+256x^99+158x^100+468x^101+237x^102+776x^103+235x^104+920x^105+294x^106+988x^107+293x^108+930x^109+208x^110+668x^111+161x^112+466x^113+99x^114+286x^115+88x^116+124x^117+67x^118+42x^119+37x^120+28x^121+14x^122+4x^123+5x^124+2x^125+2x^126+1x^130

The gray image is a code over GF(2) with n=324, k=16 and d=80.
This code was found by Heurico 1.16 in 99.6 seconds.