The generator matrix

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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+192x^72+414x^73+753x^74+1100x^75+1504x^76+1862x^77+2045x^78+2202x^79+2396x^80+2782x^81+2594x^82+2566x^83+2571x^84+2306x^85+2004x^86+1622x^87+1345x^88+926x^89+664x^90+400x^91+217x^92+140x^93+57x^94+36x^95+26x^96+18x^97+8x^98+10x^99+4x^100+2x^102+1x^106

The gray image is a code over GF(2) with n=328, k=15 and d=144.
This code was found by Heurico 1.16 in 45.7 seconds.