The generator matrix

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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+4x^39+20x^40+22x^41+68x^42+40x^43+86x^44+90x^45+119x^46+148x^47+256x^48+216x^49+338x^50+418x^51+394x^52+472x^53+512x^54+556x^55+524x^56+562x^57+452x^58+514x^59+587x^60+390x^61+317x^62+336x^63+238x^64+174x^65+102x^66+112x^67+79x^68+128x^69+108x^70+322x^71+383x^72+814x^73+1028x^74+2278x^75+2350x^76+4446x^77+4078x^78+6418x^79+4548x^80+6290x^81+4082x^82+4580x^83+2430x^84+2134x^85+1034x^86+926x^87+306x^88+334x^89+118x^90+86x^91+78x^92+94x^93+118x^94+178x^95+260x^96+312x^97+386x^98+432x^99+402x^100+468x^101+588x^102+610x^103+511x^104+592x^105+534x^106+458x^107+332x^108+346x^109+338x^110+298x^111+259x^112+130x^113+156x^114+80x^115+81x^116+32x^117+42x^118+20x^119+14x^120+2x^121+6x^122+2x^123+5x^124+2x^126+2x^130

The gray image is a code over GF(2) with n=320, k=16 and d=78.
This code was found by Heurico 1.16 in 98.6 seconds.