The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2 12  1  1  2  0  1  1  1  1  1  1  1  1  2  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12  6  2 10 10  2  6 10  6  2  6 10  0 12  6  6 12 12  6 12  0 14  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  8  8  0  8  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  0  8  0  0  8  8  8  0  0  0  8  8  8  0  8
 0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  8  0  0  0  8  0  8  0  8  8  8  0  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+55x^26+40x^27+174x^28+144x^29+524x^30+600x^31+2079x^32+992x^33+2072x^34+600x^35+507x^36+144x^37+146x^38+40x^39+46x^40+17x^42+6x^44+2x^46+2x^48+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 0.657 seconds.