The generator matrix

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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+16x^43+25x^44+4x^45+20x^46+16x^47+61x^48+36x^49+127x^50+104x^51+197x^52+156x^53+276x^54+332x^55+393x^56+476x^57+499x^58+504x^59+549x^60+536x^61+569x^62+608x^63+460x^64+428x^65+354x^66+324x^67+299x^68+276x^69+161x^70+250x^71+193x^72+404x^73+528x^74+1098x^75+1278x^76+2356x^77+2842x^78+4118x^79+4000x^80+5384x^81+4956x^82+5372x^83+4136x^84+4142x^85+2868x^86+2306x^87+1216x^88+1016x^89+460x^90+398x^91+204x^92+196x^93+130x^94+198x^95+216x^96+348x^97+410x^98+592x^99+489x^100+690x^101+650x^102+604x^103+645x^104+564x^105+518x^106+432x^107+433x^108+292x^109+262x^110+96x^111+139x^112+96x^113+77x^114+40x^115+32x^116+8x^117+26x^118+6x^120+10x^122+2x^124+2x^128+1x^130

The gray image is a code over GF(2) with n=328, k=16 and d=86.
This code was found by Heurico 1.16 in 99.2 seconds.