The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1 12  1  1  2  1  1  1  2  8  1  1  2  4  0  6  4  8  2  0 10  6  1  1
 0  1 11  6  5  1  9  8  1  7 14  1  4  1 13 10  1  3 12  1  1  1 15 14  1  1  1  1  1  1 12  0  1  1  2  0
 0  0 12  0  8  0  8  4 12  4 12  4  4  0 12  8 12  0  8  4  4  8  0 12  4 12  8  0 12  4  0  4  0  8  0  8
 0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  0  8  0  0  0  8  0  8  8  8  8  0  8  0  8

generates a code of length 36 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+238x^33+320x^34+276x^35+411x^36+336x^37+256x^38+124x^39+34x^40+46x^41+1x^48+4x^49+1x^52

The gray image is a code over GF(2) with n=288, k=11 and d=132.
This code was found by Heurico 1.16 in 41.2 seconds.