The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  2  2  2  1  2  1  1  1  1
 0  2  0  2  0 10 12 14  4  4 10  6 14  2  0 14  6  4  6  8  6  2
 0  0  2  2 12 14  6  4  2  4  6  0  2  2  6  4  6  2  4  2 12 10
 0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  0  0  8  8
 0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  8  8  0  0  8  0  8
 0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^16+162x^17+311x^18+870x^19+1525x^20+2290x^21+5945x^22+2310x^23+1577x^24+870x^25+251x^26+146x^27+47x^28+6x^29+19x^30+2x^31+2x^34

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 0.978 seconds.