The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+100x^28+16x^29+104x^30+192x^31+201x^32+864x^33+164x^34+192x^35+111x^36+16x^37+48x^38+30x^40+4x^42+4x^44+1x^52

The gray image is a code over GF(2) with n=264, k=11 and d=112.
This code was found by Heurico 1.16 in 0.427 seconds.