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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+149x^72+8x^73+160x^74+56x^75+256x^76+120x^77+272x^78+160x^79+253x^80+104x^81+162x^82+40x^83+107x^84+24x^85+66x^86+45x^88+38x^90+20x^92+6x^94+1x^132

The gray image is a code over GF(2) with n=316, k=11 and d=144.
This code was found by Heurico 1.16 in 0.773 seconds.