The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  2  4  1  0  1  2  1  2  2  2  1
 0 12  0 12  0 12  0 12 12  0 12 12 12  8  4 12 12  4 12 12 12  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0
 0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  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+72x^14+222x^16+192x^17+356x^18+192x^19+1268x^20+4736x^21+2208x^22+4736x^23+1424x^24+192x^25+376x^26+192x^27+136x^28+56x^30+17x^32+4x^34+4x^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 0.985 seconds.