The generator matrix

 1  0  1  1  1  4  1  1  2  1 14  1  1 10  1  1  1  1  1 12 10  1  2  2  1 12  1  2  2 12  2  1 12  6  1  1  1
 0  1  1  0  3  1  9 12  1  8  1 11 11  1 10 13 11 14  9  1  1  2  1  4 10  1 12  1  6  2  0  9  2  1  7 15  0
 0  0  2  0  0  0  8  6  6  2  2 14  8  4  6  4  2 12 10  6  4  4  8  2  4  6 10  0 14 12  2  2  6  8 10  0  8
 0  0  0  2  0  2 14  8  2 14  8  2 10  4 14  8  8  4 10 14  2  6 12  0 12  0  4  2  6  6  8 12  8  6 14 10  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  8  8  8  0  8  8  8  0  0  0  0  0  0  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+146x^30+394x^31+1195x^32+2194x^33+4697x^34+7628x^35+10795x^36+11326x^37+10952x^38+7690x^39+4811x^40+2108x^41+966x^42+344x^43+185x^44+46x^45+38x^46+8x^47+5x^48+6x^49+1x^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 22.8 seconds.