The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+165x^16+32x^17+512x^18+416x^19+2201x^20+2624x^21+4488x^22+2624x^23+2210x^24+416x^25+496x^26+32x^27+150x^28+8x^30+8x^32+1x^36

The gray image is a code over GF(2) with n=176, k=14 and d=64.
This code was found by Heurico 1.16 in 16.3 seconds.