The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^18+32x^19+239x^20+352x^21+595x^22+352x^23+213x^24+32x^25+83x^26+25x^28+5x^30+2x^32

The gray image is a code over GF(2) with n=176, k=11 and d=72.
This code was found by Heurico 1.16 in 0.0623 seconds.