The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2 12  8  2  1 12  2  2  1  2  1  1  4  2  1  1  2  1  1  1
 0  2  0  2  0  8  6 14  0  0  2 14  8 12 14  6 14 10  2  2  0  6 12 10 14  6  4  6  0 12  4 14  4 14 12 10  0
 0  0  2  2  0  6 14  8  0  2 14  0 10 12  6  4  4 10  0  2 14  2  2 12  2  0 14  2 12  2  2  2  4  6 14  2  0
 0  0  0  4  0  0 12  0 12 12  8  4 12  4  8  4  4  8  8  0 12  0  8  0  4 12  8  0 12  4  0 12  0 12 12  4  8
 0  0  0  0 12  4  4  4 12  8 12  0 12  8  8 12  4  4  0  0  8  4  4  4 12  4  4  0  0  4  8  4  4 12  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+34x^30+198x^31+309x^32+730x^33+1110x^34+1894x^35+2334x^36+3078x^37+2529x^38+1936x^39+1046x^40+658x^41+237x^42+158x^43+50x^44+44x^45+25x^46+6x^47+4x^48+1x^50+2x^53

The gray image is a code over GF(2) with n=296, k=14 and d=120.
This code was found by Heurico 1.16 in 2.42 seconds.