The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+60x^29+343x^30+540x^31+907x^32+592x^33+762x^34+430x^35+315x^36+92x^37+13x^38+12x^39+24x^40+2x^42+2x^43+1x^44

The gray image is a code over GF(2) with n=264, k=12 and d=116.
This code was found by Heurico 1.16 in 0.105 seconds.