The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1 12  6  8  1  1  1  6 10  6  1
 0  1  0  0  4  9 13  1  1 14 15 13  2  1  1  5 12 11 10  4  6  0
 0  0  1  0  5  1  4  5  8  2 13  6  1  7  2  1  1 15  1  1 12  0
 0  0  0  1  1  4  5  5 11  5 11  2 13  6  3 11 14 14  0 15  1  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+208x^17+1392x^18+3066x^19+7621x^20+12284x^21+16158x^22+12582x^23+7911x^24+2768x^25+1164x^26+318x^27+51x^28+4x^29+6x^30+2x^31

The gray image is a code over GF(2) with n=176, k=16 and d=68.
This code was found by Heurico 1.16 in 10.4 seconds.