The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  0  1  1  1  2  1  4  2  1  1
 0  1 11  6  1  1  0  3  1 14  1  5  1 14 11  8  0  6  0 10 11  3
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  8 12  4 12  8  4 12  4
 0  0  0 12  0  0 12  8 12  8  4  4 12  0 12 12 12 12 12  8  4  0
 0  0  0  0  4  4 12  8  4 12  0  8  8  0  8  4  0  8  4  4  4  4
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  0  0  0  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+141x^16+132x^17+734x^18+1432x^19+4196x^20+5092x^21+9291x^22+5072x^23+4250x^24+1484x^25+706x^26+88x^27+116x^28+12x^29+20x^30+1x^38

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 3.34 seconds.