The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^34+236x^35+143x^36+380x^37+56x^38+70x^39+31x^40+80x^41+8x^42+2x^43+1x^46+1x^48+1x^50

The gray image is a code over GF(2) with n=296, k=10 and d=136.
This code was found by Heurico 1.16 in 0.031 seconds.