The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^17+194x^18+606x^19+791x^20+1502x^21+1887x^22+1500x^23+781x^24+584x^25+157x^26+70x^27+25x^28+14x^29+1x^30+2x^32+1x^34

The gray image is a code over GF(2) with n=176, k=13 and d=68.
This code was found by Heurico 1.16 in 0.323 seconds.