The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+308x^34+816x^35+829x^36+708x^37+416x^38+496x^39+245x^40+148x^41+106x^42+8x^43+13x^44+2x^46

The gray image is a code over GF(2) with n=296, k=12 and d=136.
This code was found by Heurico 1.16 in 0.094 seconds.