The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1  1  2  1  1  1  1  2  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1 2a+2
 0  1  1  a a+1  0 2a+3  a a+1  1  0  a 2a+3 a+1  1  2 2a+3 a+2 a+3  1  2  1 a+2 a+3  1  2 2a+1  1 a+2 3a+3 2a+3 2a+1  3  0  a 2a+2 a+3 3a 2a 3a 2a+3  1 a+3 2a+1 a+1 a+2 2a+1 3a+3  2 3a  1  1 a+1  2  0  1
 0  0 2a+2  0  2  0  2 2a 2a 2a 2a  2 2a+2 2a+2  0 2a+2  0 2a+2  0  2  2 2a 2a  2 2a+2 2a  2 2a 2a+2 2a  0 2a+2 2a+2 2a 2a  0 2a 2a+2  2 2a+2  2  0  2  2  2 2a 2a  0 2a+2  2 2a  0 2a+2 2a 2a 2a+2
 0  0  0  2 2a 2a  0 2a  2  2  0  2 2a  2  2  0  0  2  2  2  0  0  2  2  2 2a 2a  0 2a 2a 2a 2a+2  2  2  0 2a+2 2a+2 2a+2 2a+2  0  2 2a+2 2a+2 2a+2  0 2a+2  2 2a 2a+2 2a+2 2a+2  2 2a 2a+2 2a+2  0

generates a code of length 56 over GR(16,4) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+624x^160+1263x^164+837x^168+558x^172+492x^176+291x^180+21x^184+9x^192

The gray image is a code over GF(4) with n=224, k=6 and d=160.
This code was found by Heurico 1.16 in 0.0978 seconds.