The generator matrix

 1  0  0  1  1  1  2  1  1 10  1  1  4  6  8  2  1  8  1  1  1  1  1  1  1  1  1  4  0  1  0 12  1  1  1  2  1
 0  1  0  2  1 11  1  7  0  1  4  1  1 10  1  1  6  0 13 11 11 10  1 14 10  8  8  1  6  1 12  0 12 10  2 10  0
 0  0  1  1  3  4  5  2  6  7  7  1  6  1  1  0  4  1  0  1 12  9  6 11  5 12 10  5  1  3  1  1 10  2  7  4  0
 0  0  0  4  0  0 12  4 12  8  8 12 12 12  4  8  0  0  8  0  4  8  8 12  4 12  8  8  0  8 12 12  0 12  8  4  0
 0  0  0  0  4  8  8 12 12  4  8  4  0 12  4 12 12  4  4  4  8 12 12  8 12  8  0  8  8  8  4  0 12  4  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^30+268x^31+974x^32+2328x^33+4317x^34+7802x^35+10262x^36+13020x^37+11010x^38+7914x^39+4229x^40+2102x^41+789x^42+310x^43+84x^44+32x^45+20x^46+10x^47+2x^48+6x^49+4x^50

The gray image is a code over GF(2) with n=296, k=16 and d=120.
This code was found by Heurico 1.16 in 18.7 seconds.