The generator matrix

 1  1  1  1  1  1  2  0  1  1  2  1  1  0  2  0  1  1  1  1  1  1
 0  2 12  6  0  6  6  2 12 10 10  0  6  2  6  2 12  6  6  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^12+8x^14+366x^16+256x^17+608x^18+1792x^19+2630x^20+6144x^21+9008x^22+6144x^23+2656x^24+1792x^25+608x^26+256x^27+366x^28+8x^30+49x^32+10x^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 1.75 seconds.