The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^72+268x^73+183x^74+426x^75+326x^76+508x^77+318x^78+428x^79+207x^80+348x^81+177x^82+210x^83+111x^84+174x^85+69x^86+136x^87+46x^88+44x^89+16x^90+16x^91+11x^92+2x^93+5x^94+7x^96

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 0.879 seconds.