The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  1  2  0  0  1  1  1  1  6  4  1  1  1  6  1  6  6  1  1  0  0  1  6  1  1  2  1  1  1  1  6  1  0  1  1  4  1  1  1  1  1  1  6  1  4  6  1  1  1  1  1  4  1  1  0  1  1  1  2  0  6  1  0  4  6  2  2  1
 0  1  0  0  1  3  1  2  0  4  7  1  1  1  6  3  0  5  4  1  1  5  4  2  1  7  1  6  5  3  1  1  4  6  6  6  1  2  2  1  6  1  0  2  7  0  0  0  3  5  3  4  7  0  1  1  1  1  1  0  3  3  1  7  7  6  1  1  2  1  1  1  2  6  1  1  1  1  0
 0  0  1  1  1  4  5  5  1  2  6  3  7  6  1  3  6  0  1  2  3  7  7  0  5  0  0  1  4  7  7  2  7  1  3  7  4  2  0  5  2  2  0  1  5  7  1  7  2  6  3  6  5  1  3  2  6  2  0  0  5  5  4  0  4  1  1  1  5  4  4  7  4  1  5  5  2  0  0
 0  0  0  2  6  0  6  6  2  4  4  2  6  0  2  4  6  6  0  2  0  4  4  2  4  6  6  4  0  2  6  4  0  2  0  2  2  6  0  4  0  0  6  4  2  0  2  2  6  2  2  6  0  4  2  2  0  4  6  4  4  4  2  4  0  0  2  6  2  0  2  2  6  0  0  2  0  4  4
 0  0  0  0  4  0  4  4  4  4  4  0  0  4  0  0  0  4  4  4  0  4  0  4  4  0  0  0  0  0  4  0  0  4  4  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  4  0  4  4  0  4  0  4  0  4  0  0  4  0  0  4  4  4  0  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+57x^72+198x^73+345x^74+382x^75+377x^76+352x^77+352x^78+374x^79+330x^80+274x^81+240x^82+180x^83+126x^84+152x^85+104x^86+80x^87+50x^88+46x^89+41x^90+6x^91+16x^92+2x^94+2x^95+2x^96+2x^97+2x^98+1x^100+2x^102

The gray image is a code over GF(2) with n=316, k=12 and d=144.
This code was found by Heurico 1.16 in 0.928 seconds.