The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^28+88x^29+402x^30+352x^31+939x^32+400x^33+904x^34+352x^35+369x^36+88x^37+58x^38+27x^40+12x^42+5x^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 0.216 seconds.