The generator matrix

 1  0  1  1  1  4  1  1  1  1 10  8  8  1  1  4 14  1  4  1  8 12
 0  1  1  0 11  1 10  5  6  7  1  1  2  0 15  2  1  8  1  0  2  1
 0  0  2  6  4  6 14  4  4  6  6  4  6  2  6  2  2  4  0  6  6  2
 0  0  0 12  0  4  0 12  4  4  8  0  4 12  0  8  0  8  4  0  4 12
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  0  8  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+202x^16+348x^17+1348x^18+2664x^19+6966x^20+12852x^21+16692x^22+12880x^23+7075x^24+2660x^25+1340x^26+328x^27+154x^28+12x^29+12x^30+1x^32+1x^40

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 10.1 seconds.