The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1  1  1 12  0  1  6 10  1  1  1  0  1  1  0
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10  0  9 15  1  1  3  1  1  3  9 15  2  9  6  1
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  0  0  8  8  0  8  0  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  0  8  0  8  0  0  0  0  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+218x^32+32x^33+872x^34+512x^35+2017x^36+960x^37+1936x^38+512x^39+915x^40+32x^41+136x^42+38x^44+9x^48+1x^52+1x^56

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 4.04 seconds.