The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  2  1  2  1  1  1  1  2  2  1  1  2  1  1  2  1  1  1  1  1  2  1  1  1  1  2  2  2  1  2  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 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  4  4  4  4  4  4  4  4  4  0  4  4  0  4  0  4  0  4  4  4  4  0  0  4  4  0  4  4  0  4  4  4  4  4  0  4  4  4  4  0  4  0  4  4  0  4  0  0  4  0  0  0  0  0  0  0  0  0  0  0
 0  0  4  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  0  4  4  0  0  0  4  0  0  0  0  4  4  0  0  0  4  4  4  0  4  0  0  0  4  0  4  4  4  0  4  0  0  0  4  4  0  4  4  4  4  4  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  0  0  0  0  0  4  4  4  0  4  0  4  4  4  4  4  4  4  4  0  0  4  4  4  4  0  4  4  4  4  4  0  4  4  4  0  4  0  0  4  0  4  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4  4  0  0  0  0  0  0  4  0  4  4  0  4  0  4  0  0  0  4  4  0  4  0  4  0  0  0  0  4  0  0  4  4  4  0  0  4  4  4  0  4  4  4  4  0  0  4  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  0  4  4  0  0  0  0  4  4  0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  0  4  0  4  4  0  4  0  4  0  4  4  4  4  4  4  4  4  4  0  4  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0  4  0  0  0  4  4  4  4  4  0  0  4  4  0  4  4  0  0  0  0  0  4  0  0  4  4  0  0  4  0  0  0  0  4  0  4  4  4  0  0  4  4  0  0  0  0  4  4  4  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  0  4  4  4  4  0  0  0  4  0  4  0  0  0  4  0  4  0  4  0  0  0  4  0  4  0  4  4  4  0  0  0  4  0  4  0  0  4  0  4  0  4  4  4  0  4  0  4  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  4  0  0  0  0  4  0  0  4  4  0  0  4  4  4  0  4  0  0  4  0  0  0  4  0  0  0  4  4  4  4  0  0  4  4  0  0  0  4  4  0  4  0  0  0  4  0  4  4  0  4  4  4  0  0  0  4  4  4  4  4  4  4  4  4  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  0  4  0  4  0  0  4  4  0  4  4  0  4  4  0  0  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  4  0  0  0  0  0  0  4  0  0  0  4  4  0  4  0  0  4  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  4  0  0  4  0  4  0  4  0  4  4  0  4  4  0  0  4  0  0  4  0  4  0  0  0  0  0  4  4  0  0  0  0  4  4  0  4  4  4  4  0  4  4  4  0  4  4  0  0  4  0  0  4  4  4  0  0  4  4  0  4  4  4  4  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  0  4  4  0  4  4  0  4  0  4  0  0  0  4  4  4  0  4  4  0  0  4  4  4  0  0  4  0  4  4  0  0  0  0  4  4  0  0  0  4  0  4  0  0  4  4  4  4  0  4  0  4  0  4  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  4  4  4  0  4  0  4  4  4  0  4  0  0  4  0  4  4  4  4  4  0  0  0  4  4  0  0  4  0  0  4  4  4  0  4  0  4  0  0  0  0  0  0  4  4  4  4  4  0  0  4  0  4  4  4  4  0  0  0  0  4  4  0  0  0  0  0  0  0  0  0  0  0

generates a code of length 85 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+114x^56+340x^60+487x^64+591x^68+694x^72+8x^73+50x^75+693x^76+176x^77+87x^78+484x^79+528x^80+1016x^81+223x^82+1534x^83+385x^84+18080x^85+377x^86+1464x^87+172x^88+1016x^89+481x^90+526x^91+63x^92+176x^93+630x^94+36x^95+20x^96+8x^97+751x^98+2x^99+8x^100+672x^102+461x^106+284x^110+90x^114+27x^118+10x^122+2x^126+1x^142

The gray image is a code over GF(2) with n=340, k=15 and d=112.
This code was found by Heurico 1.16 in 98.9 seconds.