The generator matrix

 1  0  0  1  1  1  4  8  1  1  1 10  4  1  4  1  6  2  0  0 10  1
 0  1  0  1 14 11  1  1 14 11 10  1  2  7  1  8  1  1  6  1  1 12
 0  0  1  1  5  4  7  4  3  2  0  3  1 13  2 15  9  5  1  6  1  7
 0  0  0  2 10  0  8  6  4  6 14 14 14  4  0  6 14  4 14 12 10  4
 0  0  0  0  8  8  8  0  8  8  0  8  0  0  0  0  0  0  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+248x^17+926x^18+3192x^19+6589x^20+13624x^21+15995x^22+14312x^23+6542x^24+2912x^25+868x^26+256x^27+49x^28+16x^29+3x^30+3x^32

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 8.99 seconds.