The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  8  1  1  2  1  2  1  1  1
 0  2  0  2  8  0 10  2  4  6  4  6 12  4 14  6  2  0 12 10  6  8  0 12  8 12 12 10  4 10 10  6 10 10 14  0  4
 0  0  2  2  4  6  6  4  4 14  2  8  8 14  2  4  8  4  2 14  0  0 14 12 10 14  0  4  2 12 10  0  8  2  4 10 10

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

Homogenous weight enumerator: w(x)=1x^0+55x^34+132x^35+232x^36+246x^37+195x^38+72x^39+50x^40+30x^41+5x^42+5x^44+1x^66

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 0.0258 seconds.