The generator matrix

 1  0  1  1  1 14  1  1  8  1 10  1  1  6  1  2  1  6  1  1  1  1
 0  1 11  6  1  1  3  8  1 10  1  0 13  1  3  6  1  1 15  9  0  0
 0  0 12  0  0  0  0  4  4 12 12  8 12  4  8  8  0  4 12 12  0  0
 0  0  0 12  0  4  4  4 12  8  8  4 12 12  0 12  4 12  0  4  0  0
 0  0  0  0  4  8 12  4  4 12  4  4  4  0  8  4  0  8  4  8  0  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+92x^16+186x^17+288x^18+786x^19+1569x^20+3158x^21+4268x^22+3070x^23+1615x^24+806x^25+288x^26+174x^27+49x^28+10x^29+20x^30+2x^31+2x^36

The gray image is a code over GF(2) with n=176, k=14 and d=64.
This code was found by Heurico 1.16 in 0.754 seconds.