The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+43x^72+46x^73+168x^74+174x^75+312x^76+460x^77+680x^78+876x^79+1131x^80+1496x^81+1857x^82+2268x^83+2634x^84+2920x^85+2818x^86+2852x^87+2641x^88+2262x^89+1880x^90+1502x^91+1079x^92+836x^93+607x^94+444x^95+241x^96+148x^97+129x^98+72x^99+80x^100+24x^101+32x^102+4x^103+22x^104+14x^106+7x^108+7x^110+1x^112

The gray image is a code over GF(2) with n=344, k=15 and d=144.
This code was found by Heurico 1.16 in 65 seconds.