The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^16+196x^17+1042x^18+1424x^19+3779x^20+5508x^21+8402x^22+5600x^23+3938x^24+1452x^25+902x^26+144x^27+172x^28+12x^29+22x^30+5x^32+1x^36

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 4.22 seconds.