The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+50x^16+52x^17+92x^18+172x^19+344x^20+800x^21+1086x^22+808x^23+340x^24+164x^25+82x^26+44x^27+32x^28+8x^29+18x^30+1x^32+2x^34

The gray image is a code over GF(2) with n=176, k=12 and d=64.
This code was found by Heurico 1.16 in 0.0966 seconds.