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

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

Homogenous weight enumerator: w(x)=1x^0+142x^56+449x^60+8x^62+596x^64+232x^66+1089x^68+784x^70+9771x^72+784x^74+1155x^76+232x^78+599x^80+8x^82+339x^84+146x^88+40x^92+8x^96+1x^120

The gray image is a code over GF(2) with n=288, k=14 and d=112.
This code was found by Heurico 1.16 in 25.2 seconds.