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  2  2  2  0  1  4  0  2  2  1  0  1  1  0  4  1  1  4  2  2  1  1  1  2  1  2  2  1  2  1  1  1  4  0  1  1  0  2  1  1  1  1  1  1  0  2  1  1
 0  2  0  2  0  0  2  6  0  0  2  6  4  6  0  2  4  6  4  6  0  6  4  2  2  4  6  4  4  2  2  2  6  6  0  6  0  2  2  6  6  4  6  6  2  4  6  6  0  6  0  6  2  0  6  0  2  2  0  6  2  2  0  4  2  2  0  2  2  4  0  0
 0  0  2  2  0  6  2  0  0  6  2  0  6  4  0  2  4  6  2  0  4  0  2  6  2  2  0  2  2  2  4  6  0  6  2  6  0  4  6  4  2  2  6  0  6  0  6  4  6  0  6  2  6  2  4  0  2  0  6  2  4  2  0  0  0  0  6  2  0  4  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  0  4  4  0  4  4  0  0  4  0  0  4  4  4  0  4  4  4  0  4  4  4  0  4  0  4  4  4  0  0  0  0  0  4  4  4  0  0  0  0  0  4  4  0  0
 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  0  0  4  4  4  0  4  0  4  4  0  0  4  4  4  0  0  4  0  0  0  4  4  4  0  0  4  4  0  0  0  4  0  4  4  0  0  4  4  0  4  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  0  4  4  0  0  0  0  4  4  4  4  4  0  0  4  4  4  0  4  0  0  0  4  4  0  0  0  0  4  4  4  4  0  0  0  4  0  0  4  4  4  0  4  0  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  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  0  4  0  4  0  4  4  0  4  4  4  0  4  0  4  4  4  0  0  4  0  4  4  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  4  4  4  4  4  4  4  0  4  0  0  4  0  0  0  4  4  0  0  0  4  0  4  4  0  4  4  4  0  4  0  0  4  0  0  0  0  4  4  0  0  4  4  0  4  0  4  0  0  4  0  0  0  0  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  4  4  0  4  0  0  4  0  0  0  4  4  0  4  0  4  4  4  0  4  4  4  0  4  4  4  0  0  4  0  4  0  4  0  4  4  4  0  0  4  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  0  4  4  4  0  0  4  4  0  4  4  4  4  0  0  0  0  0  4  4  0  4  0  0  4  0  4  0  4  4  0  4  0  4  0  4  0  0  4  0  0  4  4  4  4  0  0  0  0  4  4  4  0  0
 0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  0  0  0  0  4  4  4  0  0  4  4  4  4  0  4  0  4  4  4  0  4  4  4  0  0  4  4  0  0  0  4  0  0  0  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^56+196x^58+351x^60+645x^62+72x^63+1016x^64+288x^65+1661x^66+648x^67+2664x^68+1248x^69+3643x^70+1840x^71+4169x^72+1824x^73+3654x^74+1264x^75+2696x^76+672x^77+1683x^78+264x^79+976x^80+64x^81+606x^82+8x^83+292x^84+165x^86+72x^88+26x^90+13x^92+8x^94+3x^96+1x^98+1x^104

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 70.2 seconds.