The generator matrix

 1  0  1  1  1 14  1  1  1  1 12  2  1  1  2  1  1  0  2  1  1  1
 0  1  1  0  7  1 14  3 13 10  1  1  2 12  1  1  1  1 14  7 15  7
 0  0  2  6  6  8  0  4 12  6  2  2 14 12  6  8 14  4  6  8  4 12
 0  0  0 12  4  4  4  4  8  0 12  8 12  0  4 12  0  8 12  4  0  8

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

Homogenous weight enumerator: w(x)=1x^0+87x^18+508x^19+806x^20+1800x^21+1840x^22+1834x^23+729x^24+424x^25+103x^26+40x^27+16x^28+2x^30+2x^31

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 0.278 seconds.