The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+102x^71+259x^72+418x^73+481x^74+670x^75+755x^76+608x^77+699x^78+728x^79+643x^80+518x^81+492x^82+494x^83+386x^84+334x^85+200x^86+126x^87+113x^88+48x^89+43x^90+18x^91+19x^92+18x^93+5x^94+4x^95+8x^97+2x^99

The gray image is a code over GF(2) with n=316, k=13 and d=142.
This code was found by Heurico 1.16 in 2.96 seconds.