The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+16x^14+60x^15+172x^16+390x^17+651x^18+1800x^19+3668x^20+5924x^21+7356x^22+5960x^23+3696x^24+1832x^25+650x^26+360x^27+140x^28+44x^29+28x^30+12x^31+3x^32+2x^33+3x^34

The gray image is a code over GF(2) with n=176, k=15 and d=56.
This code was found by Heurico 1.16 in 3.26 seconds.