The generator matrix

 1  0  0  1  1  1 10  1  1  1  1 14  6  2  2  4  1  1  8  1 12  1  1  1  1  8  1  8  1  1 14 14  1 10 14  1  1
 0  1  0  4  1  7  1  6  9  2 15  2  1  1  1  1  2  3  2  8  1 12  5 11  9  1  8 10 13  8  1  1  3  0  2  2  0
 0  0  1  7  1  2  5  0  6  7  5  1  3  2  4  7  1  0  1  2  6  5  3  2  5  4  2  1 10  4  7 13  5  1  1  2  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  0  8  0  8  0  8  0  0  8  8  8  0  8  8  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  8  0  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  0  0  0  0  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  8  0  8  8  8  8  8  8  8  8  8  0  0  8  0  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+48x^30+300x^31+843x^32+2048x^33+4611x^34+7392x^35+11374x^36+12288x^37+11434x^38+7396x^39+4702x^40+2020x^41+644x^42+264x^43+98x^44+24x^45+30x^46+8x^47+6x^48+4x^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 18.1 seconds.