The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  1  1  0  1  8  1
 0  2  0  2  0  0  6  6  6 12  2  6  4 10  0 12  4  2  4  2  8  0
 0  0  2  2  0 14  6  4  2  6  6  0 10  6  6  2  6  0  2  8  2  0
 0  0  0  4 12  4  8  4  4  0  4  0 12  8  0 12 12 12 12  8  4  0
 0  0  0  0  8  0  8  8  0  8  8  8  0  0  0  8  0  0  8  0  8  0
 0  0  0  0  0  8  8  0  8  8  0  0  0  0  8  8  0  8  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+68x^16+202x^17+392x^18+862x^19+1634x^20+3048x^21+3988x^22+3004x^23+1685x^24+890x^25+344x^26+166x^27+65x^28+20x^29+12x^30+2x^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 1.05 seconds.