The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  0  2  0  2  0  2  2  2  2  2  2  2  2  2  2  4  4  4  4  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  6  0  6  0  2  4  6  4  2  4  6  4  2  0  6  0  6  0  6  0  6  4  2  4  2  4  2  4  2  6  2  6  2  6  2  6  2  0  4  0  4  0  4  2  2  2  2  2  2  2  2  0  4  0  0  0  0  4  4  4  4  6  6  6  2  6  2  2  2  0
 0  0  4  0  0  4  4  4  4  0  4  0  0  4  0  4  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  0  0  4  4  0  0  4  4  4  4  4  4  0  0  4  4  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0
 0  0  0  4  4  4  4  0  0  0  4  4  4  0  0  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  0  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0

generates a code of length 73 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+14x^72+92x^73+14x^74+1x^80+4x^81+1x^82+1x^98

The gray image is a code over GF(2) with n=292, k=7 and d=144.
This code was found by Heurico 1.16 in 0.154 seconds.