The generator matrix

 1  0  0  1  1  1  6  1  1 12  1  1 14  1  1  0  1  1  1  1  4  1
 0  1  0  4  1 11  1  2 15  1  6  9  2  9 12  6  4  7  3 11  1  0
 0  0  1  7  1  4  3  2  3  3  5 14  1  8  5  1 10 12 10  9  9  0
 0  0  0  8  8  8  0  8  0  8  0  0  8  8  8  8  0  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+126x^18+378x^19+1111x^20+1576x^21+1930x^22+1508x^23+1009x^24+344x^25+166x^26+34x^27+5x^28+2x^30+2x^32

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 0.172 seconds.