The generator matrix

 1  1  1  1  1  1  2  1  0  1  2  1  1 12  2  1  1  2  2  2  2  1
 0  2 12  6  0  6  6 12  2 10 10  0  6  2  6 12 10  6  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^14+40x^15+124x^16+148x^17+306x^18+852x^19+874x^20+5108x^21+1364x^22+5092x^23+956x^24+860x^25+324x^26+156x^27+84x^28+28x^29+10x^30+4x^31+7x^32+10x^34+2x^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 0.792 seconds.