The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  1  1 14 12  1  1  1  1  1 14  1  8  1 12  1  1  1  1  1  1  1  2  1  0  1
 0  1 11  6  5  1 13  0  1  2  3  1 14 11  1  1  9  2  7  6  6  1  8  1  0  1  9 12 11  6 10 15  5  4 12  1 11
 0  0 12  0  0  8  0 12 12  4  4  4 12  8  4  4 12  8  4  8  4  0 12  8  0  0 12  8  0  4  8  0  4 12  0  8  8
 0  0  0 12  8 12  4 12  8  0  4 12  8 12  8  4  4  4  8  8 12  8  8 12  4 12  0  0  0  4  0  8 12 12  8  8  4

generates a code of length 37 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+130x^33+327x^34+634x^35+572x^36+832x^37+582x^38+568x^39+284x^40+116x^41+19x^42+12x^43+5x^44+8x^45+1x^48+2x^49+2x^51+1x^52

The gray image is a code over GF(2) with n=296, k=12 and d=132.
This code was found by Heurico 1.16 in 0.561 seconds.