The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  2  0  2  4  1  2  1
 0 12  0  4  0  0  4 12  0  8  4  4  8 12 12  4  4 12  8  8 12  0
 0  0 12  4  0 12  4  0  8  4  0  4  4  0  0  4  8  0  4  8  8  4
 0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  0  8  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+146x^16+16x^17+304x^18+144x^19+1182x^20+1376x^21+1832x^22+1376x^23+1236x^24+144x^25+288x^26+16x^27+112x^28+8x^30+9x^32+2x^36

The gray image is a code over GF(2) with n=176, k=13 and d=64.
This code was found by Heurico 1.16 in 0.499 seconds.