The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^34+260x^35+104x^36+244x^37+88x^38+204x^39+38x^40+28x^41+9x^42+1x^50+1x^56

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 0.0231 seconds.