The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  2  1 12  1  2  1  0  1  1  2  0  0  1
 0  2 12  6  0  6 12 10  0  6 12  4 10 10  6  2  6  0  8  6 10 14  2  0  6  6  2  0  8 10  2  2  0
 0  0  8  0  0  0  0  8  0  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  0  0  0  0  0  8  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  8  0  0  8  8  0  8  8  8  0  0  0
 0  0  0  0  8  0  0  8  8  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  8  0  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  8
 0  0  0  0  0  0  8  8  8  0  8  0  0  8  0  8  8  0  8  8  8  8  8  8  0  0  8  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+143x^28+48x^29+196x^30+704x^31+576x^32+800x^33+536x^34+704x^35+216x^36+48x^37+100x^38+12x^40+9x^44+3x^48

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 0.303 seconds.