The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  0  2  1  2  2  1  1  2  8  2  4  2  1  1  2  4  1
 0  2  0  2  0  8  6 14  0  0  2 14  8  0  6  2  8 10  2 10  4  4  6 12  2 10 12 14  2 14  2  8  4
 0  0  2  2  0  6 14  8  0  2 14  0 10  4  0  8  2  6  2  4  6 12  4  2  2  0  2 10 10  4  0  2  6
 0  0  0  4  0  0 12  0 12 12  8  4 12 12 12 12  4 12  8  8  8  0  4 12  8  8  8  4  0 12  4 12 12
 0  0  0  0 12  4  4  4 12  8 12  0 12  0  4  4 12 12  8  4  4  0  8  8  0  8  0  8  4 12  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+166x^27+375x^28+518x^29+1275x^30+1762x^31+2642x^32+2760x^33+2857x^34+1836x^35+1211x^36+502x^37+277x^38+98x^39+53x^40+28x^41+7x^42+10x^43+6x^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 4.91 seconds.