The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^33+356x^34+636x^35+583x^36+930x^37+531x^38+480x^39+255x^40+128x^41+47x^42+20x^43+9x^44+10x^45+9x^46+1x^50

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 0.127 seconds.