The generator matrix

 1  0  1  1  1  6  1  1 12  1 14  1  1  1 10  1  1  8  1  1  2  2
 0  1 11  6 13  1  7  8  1  5  1 10 12  1  1 14  3  1  3 11  4  0
 0  0 12  0  4  8 12  4  0  8  4  0  8 12  0  4  8  4  0  4  4  0
 0  0  0  8  0  8  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  8
 0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  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+66x^18+160x^19+528x^20+872x^21+895x^22+856x^23+477x^24+152x^25+56x^26+8x^27+18x^28+7x^30

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 0.0612 seconds.