The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+52x^73+96x^74+204x^75+382x^76+382x^77+852x^78+726x^79+1562x^80+1152x^81+2496x^82+1658x^83+3180x^84+1958x^85+3491x^86+2034x^87+3243x^88+1658x^89+2335x^90+1146x^91+1486x^92+722x^93+806x^94+298x^95+320x^96+188x^97+126x^98+62x^99+48x^100+26x^101+31x^102+14x^103+9x^104+6x^105+3x^106+2x^107+8x^108+4x^110+1x^112

The gray image is a code over GF(2) with n=344, k=15 and d=146.
This code was found by Heurico 1.16 in 74.8 seconds.