The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+72x^17+153x^18+252x^19+383x^20+692x^21+1001x^22+728x^23+363x^24+240x^25+115x^26+44x^27+21x^28+20x^29+11x^30

The gray image is a code over GF(2) with n=176, k=12 and d=68.
This code was found by Heurico 1.16 in 94.1 seconds.