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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  1  1  2  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  8  4  8  4  0 12  8  4  8  4  8  4  8  4  0 12  8  4  8  4  0 12  8  4  8  4  8  4  0 12  0 12  0  8 12 12  0 12 12  0
 0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0
 0  0  0  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0
 0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  0  8  0  8  0  8  0  0  0  8  8  8  0  8  8  0  8  0  0  0  0  0  8  8  8  0  8  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  0  8  0  0  0  8  8  8

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+18x^72+16x^73+63x^74+240x^75+352x^76+240x^77+59x^78+16x^79+13x^80+4x^82+1x^86+1x^146

The gray image is a code over GF(2) with n=608, k=10 and d=288.
This code was found by Heurico 1.16 in 0.392 seconds.