The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^78+516x^79+954x^80+1102x^81+1451x^82+1986x^83+2104x^84+2192x^85+2357x^86+2512x^87+2472x^88+2460x^89+2379x^90+2204x^91+1872x^92+1738x^93+1463x^94+1024x^95+709x^96+446x^97+334x^98+132x^99+74x^100+58x^101+18x^102+8x^103+4x^104+4x^105+4x^106+2x^107+2x^108+2x^110

The gray image is a code over GF(2) with n=352, k=15 and d=156.
This code was found by Heurico 1.11 in 20.9 seconds.