The generator matrix

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

generates a code of length 22 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+16x^13+104x^14+68x^15+278x^16+400x^17+648x^18+1072x^19+4784x^20+2736x^21+12816x^22+2136x^23+4976x^24+1328x^25+688x^26+304x^27+176x^28+128x^29+72x^30+4x^31+25x^32+8x^34

The gray image is a code over GF(2) with n=176, k=15 and d=52.
This code was found by Heurico 1.16 in 13.9 seconds.