The generator matrix

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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+61x^72+2x^76

The gray image is a code over GF(2) with n=568, k=6 and d=288.
This code was found by Heurico 1.16 in 0.257 seconds.