The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+7x^34+34x^35+175x^36+26x^37+9x^38+2x^39+2x^53

The gray image is a code over GF(2) with n=288, k=8 and d=136.
This code was found by Heurico 1.16 in 0.0173 seconds.