The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^26+56x^27+612x^28+404x^29+1211x^30+1600x^31+2602x^32+3100x^33+2770x^34+1496x^35+1262x^36+460x^37+460x^38+48x^39+124x^40+4x^41+42x^42+6x^44+1x^46+1x^48

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 2.38 seconds.