The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+320x^33+860x^34+634x^35+858x^36+408x^37+498x^38+250x^39+172x^40+76x^41+9x^42+8x^43+1x^44+1x^46

The gray image is a code over GF(2) with n=288, k=12 and d=132.
This code was found by Heurico 1.16 in 0.094 seconds.