The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+234x^30+296x^31+949x^32+1128x^33+2303x^34+3836x^35+4638x^36+5856x^37+4844x^38+3828x^39+2374x^40+1192x^41+748x^42+228x^43+218x^44+16x^45+56x^46+4x^47+12x^48+5x^50+2x^54

The gray image is a code over GF(2) with n=296, k=15 and d=120.
This code was found by Heurico 1.16 in 82.9 seconds.