The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+131x^16+370x^17+664x^18+1832x^19+2855x^20+6886x^21+6997x^22+7248x^23+2939x^24+1774x^25+631x^26+296x^27+89x^28+26x^29+27x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=176, k=15 and d=64.
This code was found by Heurico 1.16 in 3.74 seconds.