The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+58x^14+24x^15+155x^16+164x^17+290x^18+628x^19+1357x^20+3284x^21+4412x^22+3284x^23+1434x^24+620x^25+316x^26+156x^27+114x^28+28x^29+42x^30+4x^31+10x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=176, k=14 and d=56.
This code was found by Heurico 1.16 in 1.09 seconds.