The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  2  2  4  4  1  1  1  1
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  8  4  8  4  4  0  8 12  8  4  4 12 12  8 12  4  4 12  8
 0  0 12  0  0  0  4 12 12  8  4  0 12  8 12  4  4  4  8  4  0  0  4  4 12 12  4  8  4 12  8  0  0
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  8  4  0 12 12  4  8  8  8  4  4 12  0 12 12 12  0  4  4
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12 12  0 12  0  0 12 12  8  4  4  0  4  8  8  4  8  0  0
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  8  8  8  0  8  0  8  0  8  8  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+104x^26+4x^27+281x^28+40x^29+535x^30+636x^31+1650x^32+1712x^33+1675x^34+636x^35+514x^36+40x^37+213x^38+4x^39+105x^40+33x^42+8x^44+1x^52

The gray image is a code over GF(2) with n=264, k=13 and d=104.
This code was found by Heurico 1.16 in 0.714 seconds.