The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^17+627x^18+1586x^19+3786x^20+5608x^21+9178x^22+5902x^23+3657x^24+1480x^25+623x^26+126x^27+44x^28+8x^29+4x^30+2x^31

The gray image is a code over GF(2) with n=176, k=15 and d=68.
This code was found by Heurico 1.16 in 2.45 seconds.