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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+32x^34+96x^35+252x^36+96x^37+32x^38+2x^40+1x^64

The gray image is a code over GF(2) with n=288, k=9 and d=136.
This code was found by Heurico 1.16 in 0.0253 seconds.