The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  0  2  1  2  1  1  1 12  4  0
 0  2  0  6  4  6 12  2  8  0 14  2  2 14 14  6 10  0 14  2  2  8
 0  0 12  0  4  0  0  8  0  4  0  8  4 12  4  8 12  4  8  4  0  4
 0  0  0 12  0  0  8  4  4  4  4  8 12  8  0  0  4  4  0 12 12  8
 0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+183x^18+176x^19+554x^20+728x^21+846x^22+712x^23+565x^24+168x^25+115x^26+8x^27+28x^28+8x^30+4x^32

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 0.134 seconds.