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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+24x^72+2x^73+42x^74+50x^75+76x^76+108x^77+75x^78+76x^79+27x^80+18x^81+10x^82+2x^83+1x^142

The gray image is a code over GF(2) with n=308, k=9 and d=144.
This code was found by Heurico 1.16 in 0.213 seconds.