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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+43x^64+60x^65+95x^66+114x^67+116x^68+180x^69+203x^70+204x^71+184x^72+180x^73+132x^74+110x^75+118x^76+100x^77+56x^78+30x^79+40x^80+16x^81+15x^82+16x^83+10x^84+8x^85+7x^86+6x^87+2x^90+1x^94+1x^110

The gray image is a code over GF(2) with n=288, k=11 and d=128.
This code was found by Heurico 1.16 in 0.429 seconds.