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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+21x^40+10x^41+55x^42+32x^43+80x^44+100x^45+99x^46+240x^47+206x^48+402x^49+291x^50+586x^51+369x^52+680x^53+505x^54+688x^55+601x^56+570x^57+601x^58+388x^59+523x^60+256x^61+385x^62+112x^63+183x^64+26x^65+109x^66+2x^67+69x^68+8x^69+27x^70+62x^71+112x^72+248x^73+302x^74+760x^75+1107x^76+2058x^77+2782x^78+3740x^79+4920x^80+5346x^81+6086x^82+5492x^83+4888x^84+3772x^85+2750x^86+2042x^87+1174x^88+784x^89+324x^90+180x^91+68x^92+76x^93+32x^94+22x^95+38x^96+24x^97+68x^98+66x^99+217x^100+142x^101+340x^102+194x^103+516x^104+374x^105+673x^106+586x^107+641x^108+612x^109+549x^110+698x^111+400x^112+596x^113+243x^114+344x^115+179x^116+228x^117+126x^118+128x^119+52x^120+60x^121+31x^122+20x^123+19x^124+12x^125+5x^126+2x^127+1x^130

The gray image is a code over GF(2) with n=328, k=16 and d=80.
This code was found by Heurico 1.16 in 99.9 seconds.