The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^34+36x^35+173x^36+24x^37+10x^38+4x^39+1x^48+1x^52

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 0.0221 seconds.