The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1
 0 12  0  4  0  0  4 12  0  4  8  4  8  8 12 12  0 12  8 12  8  0 12  4  8  8  4  4  8  0 12  4  0  8  8  4  8
 0  0 12  4  0 12  4  0  8 12  4  0  8 12 12  8  8 12  4  8  0  4  4  8  8 12 12  8  0  4  4  0  0  4  4  4  8
 0  0  0  8  8  8  0  8  8  8  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  0  0  0  8  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+7x^34+12x^35+56x^36+360x^37+56x^38+12x^39+6x^40+1x^42+1x^72

The gray image is a code over GF(2) with n=296, k=9 and d=136.
This code was found by Heurico 1.16 in 0.0284 seconds.