The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+51x^26+108x^27+294x^28+522x^29+1051x^30+2134x^31+2211x^32+3718x^33+2182x^34+2130x^35+1024x^36+470x^37+282x^38+106x^39+52x^40+26x^41+15x^42+2x^43+2x^44+3x^46

The gray image is a code over GF(2) with n=264, k=14 and d=104.
This code was found by Heurico 1.16 in 2 seconds.