The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  2  8  2  2  1  1  2
 0  2  0  0  0  2  6 14  8  8 14  2  6  2  4  0 12  8 14 12 10 14
 0  0  2  0  2  2 10  0 12 14  8 14  2 10 10 14  2 12  0 12  6 14
 0  0  0  2  2  8 10  2  4  0 14  2  8 12 14  2  0  2 12 10 14  4
 0  0  0  0  8  8  0  8  8  8  0  8  0  0  0  0  8  0  0  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+168x^17+408x^18+826x^19+1755x^20+2828x^21+4369x^22+2908x^23+1816x^24+776x^25+306x^26+154x^27+43x^28+20x^29+5x^30+1x^32

The gray image is a code over GF(2) with n=176, k=14 and d=68.
This code was found by Heurico 1.16 in 1.2 seconds.