The generator matrix

 1  0  1  1  1 14  1  0  1 14  1  1  1  6  1  4  1  1  1 12  1 14  1  1  0 14  1  2  4 12  2 12  1
 0  1 11  6  1  1  8  1  3  1  6  5  5  1  8  1 12 14  7  1 15  1  8 11  1  1 13  0  1  1  4  2  1
 0  0 12  0  0  0  0  0  8  8  0 12 12  4  4  4  4 12 12  4  8 12  8  8  0  0  4  0  8  4 12  4  4
 0  0  0 12  0  0  8  4  8  4 12  8  4  8  4  8 12  0 12 12  0  8  4 12  8 12  4 12  8  0  4 12  0
 0  0  0  0  4 12 12 12  8  0 12 12  8 12 12  0  8  8 12 12  0  0  0  8  0 12  4  8  4  4 12  8  8

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

Homogenous weight enumerator: w(x)=1x^0+86x^27+193x^28+462x^29+1025x^30+1876x^31+2953x^32+3310x^33+2806x^34+2002x^35+985x^36+354x^37+189x^38+72x^39+24x^40+18x^41+12x^42+12x^43+4x^44

The gray image is a code over GF(2) with n=264, k=14 and d=108.
This code was found by Heurico 1.16 in 2.79 seconds.