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  2  2  2  0  4  1  1  1  2  0  2  1  2  4  1  2  2  1  0  1  1  4  0  2  1  1  0  1  1  0  4  1  4  1  1  2  2  1  2  1  0  4  2  1  1  1
 0  2  0  2  0  0  2  6  0  0  2  6  4  6  4  6  4  0  2  6  2  4  4  6  6  2  4  6  0  2  0  6  0  2  2  4  0  6  2  2  2  4  2  2  4  6  2  0  4  4  6  2  2  2  2  2  0  4  6  0  4  6  0  6  2  0  2  0  0  0  0
 0  0  2  2  0  6  2  0  0  6  2  0  4  2  2  0  6  0  6  4  4  2  0  6  2  2  2  4  2  2  0  0  2  6  4  2  6  4  6  6  2  2  4  4  6  6  2  2  2  4  4  4  6  4  4  6  6  2  0  4  6  4  0  6  0  2  6  6  6  0  0
 0  0  0  4  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  4  0  0  4  4  0  0  4  0  4  0  4  4  0  4  4  4  0  4  4  4  4  4  0  4  0  0  0  0  0  4  0  4  0  0  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  4  0  4  4  0  4  4  4  0  4  4  0  4  0  4  4  0  0  4  0  4  0  0  0  4  4  0  0  0  4  0  4  4  0  0  4  0  0  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  0  0  0  0  4  0  4  4  0  4  0  4  0  4  0  4  0  4  0  4  4  4  0  4  4  4  4  0  0  0  0  4  4  4  0  4  4  0  4  4  4  0  0  4  0  0  4  4  4  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  4  4  0  0  0  4  4  4  4  4  4  0  4  0  4  4  0  0  4  0  0  0  4  4  4  0  4  4  0  4  0  4  4  0  0  0  4  0  4  0  4  4  0  4  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  0  4  0  0  4  4  4  4  0  0  4  4  4  4  4  4  0  4  0  0  4  4  4  4  4  0  4  4  4  4  4  0  0  4  0  0  0  0  0  4  0  0  0  4  0  4  0  0  4  4  0  0  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  4  4  4  4  0  4  4  4  0  0  0  0  4  4  4  4  0  4  0  0  0  4  0  4  4  0  4  4  0  4  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  0  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  4  0  4  0  4  0  0  0  4  0  4  0  4  4  4  0  4  4  4  4  4  0  4  0  4  4  4  0  0  0  4  0  4  4  4  0  4  4  4  0  0  4  0  4  0  4  4  4  4  4  0  4  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  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  4  4  0  0  4  0  4  4  4  0  0  0  4  0  4  4  4  4  4  0

generates a code of length 71 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+72x^56+14x^57+153x^58+134x^59+341x^60+322x^61+432x^62+676x^63+871x^64+1182x^65+1424x^66+1810x^67+2199x^68+2526x^69+2740x^70+2856x^71+2697x^72+2708x^73+2171x^74+1994x^75+1468x^76+1112x^77+865x^78+612x^79+418x^80+286x^81+268x^82+94x^83+99x^84+38x^85+102x^86+16x^87+21x^88+2x^89+30x^90+5x^92+2x^93+5x^94+2x^98

The gray image is a code over GF(2) with n=284, k=15 and d=112.
This code was found by Heurico 1.16 in 70.3 seconds.