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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+212x^72+386x^74+52x^75+603x^76+180x^77+748x^78+332x^79+746x^80+468x^81+948x^82+468x^83+769x^84+316x^85+656x^86+164x^87+391x^88+60x^89+324x^90+8x^91+165x^92+116x^94+41x^96+20x^98+15x^100+2x^106+1x^120

The gray image is a code over GF(2) with n=328, k=13 and d=144.
This code was found by Heurico 1.16 in 12.5 seconds.