The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+335x^32+152x^33+614x^34+624x^35+779x^36+608x^37+492x^38+144x^39+236x^40+8x^41+78x^42+24x^44+1x^52

The gray image is a code over GF(2) with n=288, k=12 and d=128.
This code was found by Heurico 1.16 in 6.52 seconds.