The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^26+16x^27+299x^28+224x^29+598x^30+752x^31+1558x^32+1088x^33+1578x^34+752x^35+596x^36+224x^37+238x^38+16x^39+96x^40+30x^42+9x^44+4x^46+1x^48

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 21.1 seconds.