The generator matrix

 1  0  1  1  1 12  1  1  2  1  6  1  4  1  1  1  1  1  6 14  1  1
 0  1  1  0 11  1  6  7  1 10  1 15  1 12 10 13  3  7  1  1 10  0
 0  0  2  6  0  2  0  2  6 10  8  4  2  4  6 12  2  8 12  4 10  0
 0  0  0 12  0  0  4 12 12  8  4  8  4  0  4 12 12  4  4 12  0  0
 0  0  0  0 12 12  4  4  8  4 12 12 12 12  4 12  8  8  0  8 12  0

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

Homogenous weight enumerator: w(x)=1x^0+66x^16+236x^17+544x^18+1280x^19+3301x^20+6896x^21+8048x^22+7008x^23+3323x^24+1260x^25+514x^26+192x^27+59x^28+24x^29+12x^30+2x^32+2x^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 2.79 seconds.