The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+499x^72+1142x^74+1402x^76+1316x^78+1297x^80+970x^82+726x^84+452x^86+275x^88+78x^90+24x^92+8x^94+2x^98

The gray image is a code over GF(2) with n=316, k=13 and d=144.
This code was found by Heurico 1.16 in 82.9 seconds.