The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  2  1  1  2  1  1  4  1  1  4  2
 0 12  0  0  0  0  0  0  0  4 12 12  8  4  8  4  4 12  8 12  8  4 12  4  8  4  4  4 12 12  0  4  0
 0  0 12  0  0  8 12 12  4  4  4  8  8  4  0  0 12  0  0 12  4  4  8  8  0 12  4  8  4  8 12  4 12
 0  0  0 12  0 12 12  4  8  0  0  0 12  4  8 12 12  0 12  4 12  8 12 12  4  0  4  8  4  8  0  0  8
 0  0  0  0 12  4  8  4  4  0  4  4 12 12 12  8  0  8 12  8  0  0 12 12 12  8  8 12  8  0  8  0  8

generates a code of length 33 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+52x^27+121x^28+98x^29+143x^30+348x^31+788x^32+1070x^33+727x^34+336x^35+175x^36+94x^37+48x^38+28x^39+31x^40+18x^41+8x^42+4x^43+4x^44+1x^46+1x^50

The gray image is a code over GF(2) with n=264, k=12 and d=108.
This code was found by Heurico 1.16 in 0.235 seconds.