The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  2  2  4  2  4  2  1  1  2  2  1  0  2
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  4  4 12  4  8  8  4  4  0 12 12 12  8  4 12
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  8 12  4  8  4  0  4  8  0  0  4  4  8  4  0  0
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8 12  8  8  8  8  4  0  4  0 12  4  4 12  4  8  8
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  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+106x^26+24x^27+338x^28+120x^29+534x^30+752x^31+1615x^32+1296x^33+1572x^34+728x^35+540x^36+120x^37+256x^38+32x^39+120x^40+26x^42+10x^44+2x^46

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 0.695 seconds.