The generator matrix

 1  0  1  1  6  1  1  1  1  4  8  1  1  1  4  1  1 12  1  1  2  1
 0  1  1  6  1 11 13 10 15  1  1  8  2 12  1  1  3  1  2  1  4 13
 0  0  2  0  0  4  4  8 14  2 10  4  2 14 12  4  8  6 12  2  2 12
 0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  8
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  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+131x^18+398x^19+1010x^20+1400x^21+2339x^22+1422x^23+990x^24+328x^25+121x^26+34x^27+14x^28+1x^30+2x^31+1x^32

The gray image is a code over GF(2) with n=176, k=13 and d=72.
This code was found by Heurico 1.16 in 0.262 seconds.