The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  1  8  2  1 10  1  1  1  1  0  1 14  0  2  1  2  1  2  2
 0  1  1  0 11  1 14 15  1  1  2 13 15  0  1  1  1  2  1  9  2  1  4  1  0  1  2 14 14  1  9  2  4
 0  0  2  6  0  2  8  2  6  0  2  4  6  0  8 12 14 14 12  2  0 12 14  6 14 12 14 10  4 14 10 14  8
 0  0  0 12  0  0  0  0  0  0  4  8 12  4 12 12  4  8 12 12  4  4  8  4  8  0  8 12  8 12  8  8  8
 0  0  0  0 12 12  4  4  8 12  4  8  4 12  8  4  0 12  0  0  0  4  4 12  0  8  4  4  4  4  4 12 12

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

Homogenous weight enumerator: w(x)=1x^0+170x^27+500x^28+1026x^29+2082x^30+3750x^31+5645x^32+6400x^33+5516x^34+4004x^35+2246x^36+834x^37+324x^38+166x^39+50x^40+28x^41+12x^42+6x^43+6x^44+2x^46

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 10.6 seconds.