The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  1  2  1  2  1  2  1  0  0  1  0  1  1  4
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  0 14  4 12  6  4  2  4  2  8  6  2  0  2  4  2  4 12  2
 0  0  2  2  0 14  6  8  4 10  2  8  4 14 14 12  2 10  0  2 12  4  6  2  6  6  2  8 14  0  2 14  6
 0  0  0  4  4  4  0  4 12  4  8  4  0  4  8  8 12  0 12  8  0  8 12 12  0  8  4  8  4 12  4  8 12

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

Homogenous weight enumerator: w(x)=1x^0+264x^29+209x^30+602x^31+565x^32+900x^33+590x^34+546x^35+118x^36+174x^37+49x^38+66x^39+3x^40+4x^41+2x^43+2x^45+1x^48

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 27.7 seconds.