The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+79x^28+68x^30+323x^32+128x^33+556x^34+512x^35+2087x^36+768x^37+1956x^38+512x^39+664x^40+128x^41+228x^42+129x^44+8x^46+36x^48+9x^52

The gray image is a code over GF(2) with n=296, k=13 and d=112.
This code was found by Heurico 1.16 in 0.845 seconds.