The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+36x^15+106x^16+184x^18+464x^19+336x^20+2432x^21+672x^22+2936x^23+552x^24+128x^25+160x^26+144x^27+16x^28+4x^31+13x^32+8x^34

The gray image is a code over GF(2) with n=176, k=13 and d=60.
This code was found by Heurico 1.16 in 36.5 seconds.