The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^29+236x^30+214x^31+309x^32+306x^33+418x^34+206x^35+169x^36+64x^37+13x^38+10x^39+2x^41+4x^42+2x^43+1x^44+2x^45+1x^46

The gray image is a code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 0.0572 seconds.