The generator matrix

 1  0  1  1  1 14  1  1 14  1  6  1  0  1  1  1  4  1  2  1  1  1
 0  1 11  6  5  1  3  0  1 14  1 11  1  6 15 12  1  1 14 13  3  0
 0  0 12  0  0  0 12 12  4 12  8  8  4  8  8  4 12  0  8 12  4  0
 0  0  0 12  0  4 12  4  8  0  0 12  4  8  0  4  8 12 12  8 12  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+39x^16+96x^17+228x^18+830x^19+1582x^20+3686x^21+3468x^22+3692x^23+1603x^24+812x^25+196x^26+86x^27+37x^28+14x^29+12x^30+1x^32+1x^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 0.728 seconds.