The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+226x^76+184x^77+538x^78+624x^79+1219x^80+1268x^81+1576x^82+2188x^83+2166x^84+2560x^85+2452x^86+2784x^87+2615x^88+2632x^89+2208x^90+2040x^91+1599x^92+1304x^93+970x^94+528x^95+462x^96+228x^97+160x^98+28x^99+113x^100+16x^101+24x^102+37x^104+8x^106+7x^108+2x^112+1x^116

The gray image is a code over GF(2) with n=348, k=15 and d=152.
This code was found by Heurico 1.16 in 64.9 seconds.