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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+107x^56+1x^58+149x^60+10x^61+70x^62+44x^63+224x^64+102x^65+132x^66+184x^67+391x^68+296x^69+1176x^70+392x^71+1685x^72+380x^73+1176x^74+288x^75+379x^76+202x^77+173x^78+108x^79+87x^80+30x^81+172x^82+8x^83+41x^84+4x^85+98x^86+8x^88+51x^90+16x^94+4x^98+2x^102+1x^110

The gray image is a code over GF(2) with n=288, k=13 and d=112.
This code was found by Heurico 1.16 in 6.67 seconds.