The generator matrix

 1  0  0  1  1  1  6  1  1  4  1  4  0  1 10  4  1  1  1  1  1  1
 0  1  0  1  6  7  1  0  1  1 13  2  1  4  1  4  1  0  2  6  8  0
 0  0  1  1  3  2  3  6  7  2  4  1  5  7  5  1  4  5  4  3  7  0
 0  0  0  8  0  0  8  8  0  8  8  0  0  8  0  8  8  0  0  0  0  0
 0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  8  8  0  0  8  8  8  0  0  0  0  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+31x^16+146x^17+524x^18+1680x^19+3663x^20+5472x^21+9772x^22+5482x^23+3617x^24+1666x^25+516x^26+132x^27+45x^28+12x^29+4x^30+2x^31+3x^32

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 2.01 seconds.