The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^29+359x^30+446x^31+931x^32+496x^33+923x^34+426x^35+329x^36+72x^37+6x^38+6x^39+2x^40+4x^41+7x^42+2x^43+1x^44+1x^46

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 0.144 seconds.