The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  0  0  0  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  1  1  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  0  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  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^12+108x^14+314x^16+384x^17+1576x^18+1920x^19+5804x^20+18176x^21+8872x^22+18176x^23+5800x^24+1920x^25+1696x^26+384x^27+308x^28+12x^30+29x^32+24x^34+4x^36

The gray image is a code over GF(2) with n=176, k=16 and d=48.
This code was found by Heurico 1.16 in 3.94 seconds.