The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^32+200x^33+264x^34+512x^35+564x^36+880x^37+538x^38+512x^39+199x^40+200x^41+70x^42+20x^44+22x^46+5x^48+2x^50+1x^56

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 0.214 seconds.