The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^18+104x^19+197x^20+420x^21+524x^22+410x^23+180x^24+72x^25+55x^26+12x^27+5x^28+4x^29+2x^30+2x^31+1x^32+1x^34

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 0.0292 seconds.