The generator matrix

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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+46x^68+44x^69+121x^70+162x^71+334x^72+382x^73+704x^74+746x^75+1130x^76+1388x^77+1776x^78+2318x^79+2642x^80+3162x^81+2940x^82+3142x^83+2569x^84+2262x^85+1885x^86+1456x^87+1161x^88+810x^89+589x^90+318x^91+228x^92+128x^93+126x^94+46x^95+63x^96+14x^97+30x^98+2x^99+11x^100+2x^101+12x^102+2x^103+7x^104+9x^106

The gray image is a code over GF(2) with n=328, k=15 and d=136.
This code was found by Heurico 1.16 in 61.4 seconds.