The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  0  1  6  1  1  1  1  1  1  1  0  6  1  0  1  1  6  6  1  1  1  1  6  1  1  0  0  1  1  0  6  1  1  1  1  1  0  4  1  1  1  0  6  1  1  1  1  1  1  1  0  4  1  1  1  2  1  1  1
 0  1  3  6  1  1  0  3  1  6  1  1  0  1  3  1  6  5  3  0  6  5  3  1  1  5  1  0  6  1  1  3  5  2  6  1  5  0  1  1  0  6  1  1  3  3  0  0  3  1  1  6  4  6  1  1  5  5  7  6  0  5  6  1  4  2  6  3  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  0  0  0  4  4  4  4  0  0  4  4  4  0  0  4  0  4  4  4  4  0  4  4  4  0  0  0  0  0  4  4  4  4  0  4  0  4  4  0  4  0  4  0  4  4  0
 0  0  0  4  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  4  0  4  4  4  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  0  4  0  4  4  0  4  0  4  0  0  0  0  0  4  0  4  0  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  0  0  0  4  0  0  4  4  0  4  0  4  0  4  4  0  4  0  4  4  4  0  0  4  4  0  4  0  0  4  0  0  0  0  0  4  0  4  0  4  4  4  4  4  4  4  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  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  4  0  4  4  0  4  0  4  4  4  0  0  4  0  4  0  4  4  4  0  0  4  0  0  0  0  4  4  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  0  0  4  4  4  4  0  0  0  4  0  0  4  0  4  4  4  0  0  4  0  0  4  4  0  4  4  4  0  0  4  4  0  0  4  0  4  4  0  4  0  0  0  4  4  4  0  4  0  0  0  4  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  4  0  0  4  4  4  4  4  4  0  0  4  4  0  0  4  0  4  4  4  0  4  4  0  0  0  4  4  4  4  4  0  0  4  0  4  0  0  4  4  0  4  0  0  4  4  4  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  0  0  4  4  0  4  0  4  0  4  0  4  0  0  0  0  4  4  4  4  4  0  4  4  0  0  4  4  4  0  4  0  0  4  0  4  0  0  0  4  0  0  0  4  0  0  0  0  0  0  4  0  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  0  4  4  4  0  4  4  0  4  4  0  0  0  0  4  4  4  0  4  4  4  0  0  0  4  4  4  0  0  4  4  4  4  0  0  0  0  4  0  0  0  0  4  4  0  4  4  0  0  0  0  4  4  0
 0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  4  0  4  4  0  0  0  4  4  0  4  0  0  0  0  0  0  0  4  4  0  4  0  0  4  4  4  4  4  0  0  4  0  4  4  0  4  4  4  4  4  0  4  4  0  0  4  0  0  4  4  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+50x^56+51x^58+8x^59+203x^60+60x^61+279x^62+204x^63+716x^64+504x^65+1316x^66+1112x^67+2268x^68+1872x^69+3388x^70+2344x^71+3952x^72+2400x^73+3433x^74+1928x^75+2306x^76+1100x^77+1303x^78+492x^79+570x^80+200x^81+321x^82+56x^83+140x^84+8x^85+107x^86+22x^88+28x^90+11x^92+10x^94+1x^96+3x^98+1x^102

The gray image is a code over GF(2) with n=288, k=15 and d=112.
This code was found by Heurico 1.16 in 49.7 seconds.