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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+56x^56+221x^60+435x^64+701x^68+8x^70+1017x^72+360x^74+2092x^76+1680x^78+19600x^80+1680x^82+2112x^84+360x^86+1068x^88+8x^90+689x^92+410x^96+179x^100+67x^104+21x^108+2x^112+1x^140

The gray image is a code over GF(2) with n=320, k=15 and d=112.
This code was found by Heurico 1.16 in 98.3 seconds.