The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  4  1  1  2  1  4  4  4  2  2
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  8  4  8  4 12  4  8  4  4  0  0 12  0 12 12  4  8
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8  4 12  4  4  0  8  4  0 12  0  8 12 12 12  0  0  4 12
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  0  0  8  8  8  0  0  8  8  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  0  8  8  0  8  8  0  0  8  0  0  0  8  0  8
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+71x^28+16x^29+216x^30+128x^31+389x^32+480x^33+356x^34+128x^35+158x^36+16x^37+32x^38+48x^40+4x^42+3x^44+2x^48

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 0.0658 seconds.