The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^32+282x^33+730x^34+570x^35+1028x^36+400x^37+529x^38+220x^39+144x^40+50x^41+24x^42+10x^43+4x^44+4x^45+5x^46+1x^48

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 0.121 seconds.