The generator matrix

 1  0  1  1  1  4  1  1  0  1  1 10 10  1  1  1  1  1  0 12  2  1  1  4  0  2  2  1 12  8  1  4  1
 0  1  1  0  3  1  1 12  1  3  8  1  1  7  6 13 14  2  1  1 10  9  8  1  1  0 14 11  1  4 13  2  0
 0  0  2  0  0  8 10 14  2 12  2  2  4 14 14 12  8  0 14  6  6 10 12 12 10  4  6  2 12  2  2  6  4
 0  0  0  2  0 10 14  8  2  2 14  4 10  4  0 14  2  4  8 14  6 10  8  0 12  6 10  6  2  8 12  8 12
 0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+102x^27+526x^28+1096x^29+2354x^30+3726x^31+5527x^32+6066x^33+5716x^34+3742x^35+2222x^36+974x^37+498x^38+138x^39+44x^40+22x^41+8x^42+4x^43+2x^45

The gray image is a code over GF(2) with n=264, k=15 and d=108.
This code was found by Heurico 1.16 in 5.23 seconds.