The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  4  1  1  1  1  1  1  4  4  1  2  2  1
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4  4 12  8 12  4 12  8  8 12  0 12  0  4 12  0 12  4  8
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0 12  8  0  4  8  4  0 12  8  0 12  4 12  0  8  0  8  4
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  0  8  4  8  0 12  8 12  4  4  4  8  8  0  8  0  8  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  0  8  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+65x^28+12x^29+170x^30+160x^31+425x^32+424x^33+435x^34+160x^35+96x^36+12x^37+50x^38+20x^40+15x^42+2x^46+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 0.0659 seconds.