The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  4  1  1  1  8  1  1  1  2 10  1  2 12 10  1  2  1  1  4  1  0  1  1
 0  1  1  0 11  1 14 15  1  1  2 13 15  0  1  5  5  6  1 10 12  9  4  1  4  6  1  1 13  1 15  1  8 14  2  5  0
 0  0  2  6  0  2  8  2  6  0  2  4  6  0  4 12  2 10 10  0 14  4  2 12  2  6  8  0  0  2 10 10  2  6  6  8  0
 0  0  0 12  0  0  0  0  0  0  4  8 12  4 12 12 12  8 12  8 12  0  8 12 12  0  4  8 12 12  4  8 12  4  0 12  0
 0  0  0  0 12 12  4  4  8 12  4  8  4 12  4  0  8 12 12  0 12  4  8  8  0 12 12  0 12 12  0  8  8  8  0 12  0

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

Homogenous weight enumerator: w(x)=1x^0+52x^30+244x^31+610x^32+1130x^33+2369x^34+3602x^35+5388x^36+5948x^37+5530x^38+3602x^39+2331x^40+1098x^41+479x^42+206x^43+112x^44+32x^45+16x^46+10x^47+4x^48+2x^50+2x^52

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 6.21 seconds.