The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^56+36x^58+337x^60+8x^61+402x^62+96x^63+1310x^64+296x^65+2028x^66+1024x^67+3735x^68+1744x^69+4274x^70+1856x^71+4646x^72+1744x^73+3404x^74+1024x^75+2289x^76+296x^77+1014x^78+96x^79+634x^80+8x^81+100x^82+183x^84+6x^86+60x^88+14x^92+3x^96+2x^100

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 49.2 seconds.