The generator matrix

 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  2  1  1  1  1  1  1  2  1  2  0  2  2  2  1  1  1  0  4  1  2  1  2  0  2  1  2  1  1  2  0  0  1  1  1  4  1  2  1  1  2  1  1  2  1  1
 0  2  0  0  0  2  6  2  0  0  0  0  2  2  2  6  4  4  4  0  2  6  6  6  6  2  2  0  4  4  6  6  6  6  6  2  0  2  2  6  4  2  4  6  4  2  4  0  0  4  2  6  0  6  4  4  2  4  0  0  6  2  2  2  4  4  0  2  2  6  6  2  0  0  6  4  0
 0  0  2  0  2  2  6  0  0  0  2  6  6  6  4  0  4  6  6  4  0  6  6  2  6  0  4  4  2  2  0  2  6  4  4  2  2  2  6  2  6  0  0  0  4  4  0  2  0  2  4  2  0  2  2  2  2  6  0  6  2  4  0  0  0  2  0  0  4  2  2  2  6  4  0  0  0
 0  0  0  2  2  0  6  2  0  6  2  4  0  2  6  4  0  6  0  2  4  6  0  6  4  6  6  4  2  4  0  6  0  2  4  6  2  0  0  6  2  4  2  0  6  6  2  0  2  2  0  2  4  2  4  4  0  2  4  6  2  2  0  2  2  2  2  4  0  2  2  0  0  6  0  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  0  0  0  4  0  4  0  4  4  4  4  4  4  0  4  4  4  4  0  0  0  0  4  4  0  0  0  4  4  4  4  0  0  4  4  4  0  4  4  0  0  0  0  0  4  0  4  4  0  0  4  4  4  0  0  0  4  0  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  4  0  4  0  4  4  0  0  4  4  4  4  0  4  4  4  0  0  4  0  0  0  4  0  4  4  4  4  4  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  0  0  0  0  0  4  4  4  0  4  4  4  4  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  0  4  0  4  4  0  4  4  0  4  0  4  4  4  0  4  0  4  0  4  0  0  0  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  4  4  4  4  4  4  4  4  4  0  0  4  0  4  0  0  4  0  4  4  4  4  0  4  4  4  4  0  0  4  0  4  0  0  0  4  4  4  0  4  0  4  4  4  0  0  4  0  4  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  4  4  4  4  0  0  0  4  4  0  0  4  0  4  0  4  4  0  0  4  0  0  4  4  4  4  4  0  4  0  4  4  0  0  4  0  4  0  4  4  0  4  4  0  4  4  4  4  4  4  0  0  4  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  4  4  0  4  4  4  0  4  4  4  4  4  4  0  0  4  4  0  4  4  4  4  0  4  0  0  4  4  4  4  4  0  4  0  4  0  4  4  0  0  4  4  4  0  0  0  4  4  0  0  0  4  4  4  4  0  0  0  0  0  0

generates a code of length 77 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+22x^62+72x^63+149x^64+204x^65+279x^66+408x^67+498x^68+602x^69+844x^70+1030x^71+1386x^72+1792x^73+2114x^74+2604x^75+2781x^76+2950x^77+2958x^78+2628x^79+2293x^80+1806x^81+1457x^82+1048x^83+765x^84+622x^85+374x^86+310x^87+234x^88+180x^89+112x^90+84x^91+63x^92+34x^93+25x^94+8x^95+16x^96+2x^97+6x^98+5x^100+1x^110+1x^112

The gray image is a code over GF(2) with n=308, k=15 and d=124.
This code was found by Heurico 1.16 in 77.2 seconds.