The generator matrix

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

generates a code of length 88 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+180x^78+488x^79+949x^80+1182x^81+1501x^82+1806x^83+2110x^84+2164x^85+2472x^86+2424x^87+2772x^88+2294x^89+2343x^90+2204x^91+1973x^92+1714x^93+1372x^94+914x^95+760x^96+466x^97+362x^98+168x^99+59x^100+32x^101+22x^102+8x^103+12x^104+2x^105+4x^106+2x^107+4x^108+2x^109+2x^111

The gray image is a code over GF(2) with n=352, k=15 and d=156.
This code was found by Heurico 1.16 in 47.4 seconds.