The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  1  2  2  4  4  4  1  1  1
 0 12  0  0  0  0  0  0  8 12  4  4 12  4  8 12  0  4  8  8  0  0
 0  0 12  0  0  0  4 12 12  4 12 12 12 12  0  0  8 12  4 12  0  0
 0  0  0 12  0  4  4 12  0  0  8 12  8 12 12 12  4  4  8  8  0  0
 0  0  0  0 12  4  0 12  4  4  8  4  4  0 12  4  8 12  8 12 12  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8
 0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  0  8  0  8  8
 0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+68x^14+120x^15+252x^16+422x^17+481x^18+1878x^19+2294x^20+7790x^21+6063x^22+7838x^23+2346x^24+1938x^25+500x^26+386x^27+210x^28+90x^29+52x^30+18x^31+17x^32+3x^34+1x^38

The gray image is a code over GF(2) with n=176, k=15 and d=56.
This code was found by Heurico 1.16 in 4.33 seconds.