The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+164x^77+544x^78+898x^79+1107x^80+1698x^81+1715x^82+1996x^83+2122x^84+2416x^85+2453x^86+2598x^87+2568x^88+2602x^89+2265x^90+2034x^91+1495x^92+1352x^93+930x^94+696x^95+416x^96+304x^97+172x^98+104x^99+65x^100+24x^101+15x^102+6x^103+2x^104+2x^106+2x^107+2x^111

The gray image is a code over GF(2) with n=348, k=15 and d=154.
This code was found by Heurico 1.16 in 46.7 seconds.