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  2  1  1  0  1  1  1  1  2  1  1 12  2  2  8  0  2  2  4  4
 0  2  0  2  8  0  6 14  0  8  2 10  0  0 14 14  2 14  0  8 14 10  0  8  6  8 10  4 12 12 10  2 12 14 14  2  0  0  6 12 10  4 10  8 14  6 12 12  4 12  4 12 12  4  4 12  2 10 14  2  6 10 10 14  6  6 10  2  4 12  0  8  2 10  2  2
 0  0  2  2  0 14  6  8  4 14 14 12 12  2 10 12 10  8  0 10 14 12  2  0 12 14  6 12  4  2  0  2 14  2  4  8 12  4  2 10  2 12  0  6  2 12  4  6  0  8 10 10  0  8  6  6  6  6  6  6  0  4  6  6  2  8 12  6  2 10  2  2  2  2  6 14
 0  0  0  4 12 12  8 12  4  8 12  8  8  4  0  4 12  4  4  8  0  0 12  8 12  0  4  8  4 12  8  8  0  4  8 12 12  0 12  4  0  0  4  4  8  0 12  8  4 12  0  8  8  0 12  4 12  8 12  8  0  4  0  4 12  8 12  0  0  0 12 12  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+894x^72+256x^73+768x^75+288x^76+768x^77+256x^79+846x^80+18x^88+1x^128

The gray image is a code over GF(2) with n=608, k=12 and d=288.
This code was found by Heurico 1.16 in 0.716 seconds.