The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  1  4  1  1  1  2  1  1  1  1  1
 0 12  0 12  0 12  0 12 12 12  0  8 12 12  0 12 12  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8
 0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  0  0  0  8  8

generates a code of length 22 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+120x^12+48x^14+458x^16+576x^18+512x^19+1976x^20+7680x^21+10016x^22+7680x^23+1992x^24+512x^25+576x^26+456x^28+48x^30+109x^32+8x^36

The gray image is a code over GF(2) with n=176, k=15 and d=48.
This code was found by Heurico 1.16 in 2 seconds.