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  2  0  2  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  8 14  4 10  0  6 12  2  8 14  4 10  8 14  4  2  8 14  4  2  6  2  0  0  0
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0  0  8  0  0
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  0  0  8  0  0  8  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+15x^34+2x^35+126x^36+222x^37+112x^38+30x^39+1x^40+2x^41+1x^66

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 0.0274 seconds.