The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+298x^18+344x^19+830x^20+1460x^21+2352x^22+1456x^23+847x^24+296x^25+258x^26+24x^27+17x^28+4x^29+4x^30+1x^36

The gray image is a code over GF(2) with n=176, k=13 and d=72.
This code was found by Heurico 1.16 in 1.77 seconds.