The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+154x^33+359x^34+514x^35+253x^36+286x^37+206x^38+158x^39+65x^40+32x^41+9x^42+8x^43+1x^44+2x^46

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 0.046 seconds.