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

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

Homogenous weight enumerator: w(x)=1x^0+374x^34+96x^35+389x^36+320x^37+516x^38+96x^39+143x^40+102x^42+10x^44+1x^60

The gray image is a code over GF(2) with n=296, k=11 and d=136.
This code was found by Heurico 1.16 in 64.4 seconds.