The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  8  2  2  4 12  6  8 14  4  0  8
 0  1 11 14  5  1  0  3  1  6 13  1  8 14  1  1  1  2  1  1  1  1
 0  0 12  4  0  4 12  0  0  8  4 12  4  4  4  0  0  4  4 12  0  4
 0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  8
 0  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  8  0  8  0  0  0

generates a code of length 22 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+55x^14+32x^15+222x^16+320x^17+1111x^18+2688x^19+6402x^20+13344x^21+17134x^22+13344x^23+6504x^24+2688x^25+1094x^26+320x^27+172x^28+32x^29+59x^30+9x^32+3x^34+2x^36

The gray image is a code over GF(2) with n=176, k=16 and d=56.
This code was found by Heurico 1.16 in 7.63 seconds.