The generator matrix

 1  0  1  1  6  1  1  1  4  1  1 10  1  1 12  2  1  1  0  2  8  1
 0  1  1  6  1 11 13  4  1  2  3  1 12 14  1 10 12 14  2  2  0  0
 0  0  2  0  8  4 12  2  2 10 14  6  6 10 14  6  8 12 14  2  2  8
 0  0  0  8  8  0  8  8  8  0  8  8  0  8  0  0  8  0  8  8  0  8

generates a code of length 22 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+51x^18+256x^19+466x^20+860x^21+930x^22+820x^23+373x^24+204x^25+91x^26+28x^27+8x^28+8x^29

The gray image is a code over GF(2) with n=176, k=12 and d=72.
This code was found by Heurico 1.16 in 0.0548 seconds.