The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  1  2  8  1  1  1  1  2  1  8  1  1  1  2  1  0  2
 0  2  0  6  4  6 12  2  8  0  6 14  4  2  4  6 10 14  2  2  2  0 12  2  2  2  6  2  0 12  6  2  4
 0  0 12  0  4  0  0  8  0  4  4 12  8  8  4  8 12  8  0 12  8  4  4  8  8  4  0 12  8 12  8  4  0
 0  0  0 12  0  0  8  4  4  4  4  8 12  8  4  0  4  4 12  0  0  4  4 12  4  8  8  8  0 12  0  4  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0  8  0  0  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+120x^28+88x^29+250x^30+492x^31+590x^32+1088x^33+550x^34+488x^35+190x^36+136x^37+54x^38+12x^39+16x^40+10x^42+10x^44+1x^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 0.218 seconds.