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

generates a code of length 76 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+96x^56+66x^58+260x^60+174x^62+454x^64+317x^66+16x^67+542x^68+144x^69+468x^70+576x^71+688x^72+1344x^73+640x^74+2016x^75+17088x^76+2016x^77+723x^78+1344x^79+598x^80+576x^81+657x^82+144x^83+392x^84+16x^85+533x^86+240x^88+321x^90+84x^92+139x^94+35x^96+46x^98+2x^100+10x^102+1x^106+1x^134

The gray image is a code over GF(2) with n=304, k=15 and d=112.
This code was found by Heurico 1.16 in 98.3 seconds.