The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+115x^72+8x^76+3x^80+1x^88

The gray image is a code over GF(2) with n=288, k=7 and d=144.
This code was found by Heurico 1.16 in 0.119 seconds.