The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+310x^30+886x^31+1544x^32+2542x^33+4740x^34+6892x^35+10693x^36+10008x^37+11032x^38+7038x^39+4751x^40+2616x^41+1412x^42+618x^43+255x^44+96x^45+74x^46+20x^47+4x^48+2x^49+2x^51

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 38.1 seconds.