The generator matrix

 1  0  1  1  1 14  2  1  1 12  1  1  1  1  1 14  1  8  1  6  1  1  1  6  1  1  4  6  1  1  1  1  1  1  2  8  1
 0  1 11  6 13  1  1  8  3  1 10  5  4  7 14  1  1  1 10  1 15 12  2  1  9  0  1  1  3  5  8 14 13 11  4  2  0
 0  0 12  0  4  4 12  4  8  0  8  8 12  4  4  4 12 12  0  0  8  0 12  0  8  0  4 12  0  8  4  4  4 12  4  4  0
 0  0  0  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0  8  0  0  0  0  8  8  8  0  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  0

generates a code of length 37 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+48x^32+154x^33+266x^34+574x^35+599x^36+876x^37+567x^38+556x^39+247x^40+118x^41+57x^42+22x^43+1x^44+1x^46+4x^49+5x^50

The gray image is a code over GF(2) with n=296, k=12 and d=128.
This code was found by Heurico 1.16 in 0.133 seconds.