The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  6  1  8  1  1  6  2  6  1  1  1
 0  1  0  1  6  7  1 11  6 10 12  1  8  1  3  1  1  1  6  1 14  0
 0  0  1  1  3  2  3  0  1  6  7  6  6  5  3  3  7  0  1  2  5  0
 0  0  0 12  0  0  8  4  4  0 12  8  4 12  8  4  4 12  0  0 12  0
 0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  0  8  8  8  8  0  8  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+62x^16+314x^17+1135x^18+3036x^19+7473x^20+12398x^21+16465x^22+12792x^23+7485x^24+2886x^25+1075x^26+300x^27+83x^28+18x^29+11x^30+2x^34

The gray image is a code over GF(2) with n=176, k=16 and d=64.
This code was found by Heurico 1.16 in 8.04 seconds.