The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^71+211x^72+448x^73+457x^74+678x^75+643x^76+798x^77+606x^78+758x^79+578x^80+670x^81+413x^82+468x^83+355x^84+308x^85+147x^86+248x^87+111x^88+68x^89+38x^90+10x^91+17x^92+8x^93+3x^94+4x^95+3x^96+2x^97+1x^100+2x^101

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 3.04 seconds.