The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1  1 12  6  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12  6  3  9  1  1 10 10  0 12 10  6 15  3  0
 0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  8  0  0  0  8  0
 0  0  0  8  0  0  8  8  0  8  0  8  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  0  0  8  0  0
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  0  8  8  8  0  0  8  0  0  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^28+156x^29+103x^30+800x^31+370x^32+1160x^33+374x^34+800x^35+99x^36+156x^37+27x^38+1x^40+5x^42+1x^44+2x^46+1x^50

The gray image is a code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 0.101 seconds.