The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+253x^32+324x^33+654x^34+924x^35+1200x^36+1616x^37+1124x^38+952x^39+587x^40+228x^41+200x^42+44x^43+67x^44+8x^45+4x^46+3x^48+2x^50+1x^52

The gray image is a code over GF(2) with n=296, k=13 and d=128.
This code was found by Heurico 1.16 in 66 seconds.