The generator matrix
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 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 1 1 1 1 1 1
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 0 2X 0 2X 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0
0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 2X
0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X
0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 2X
0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 0 0 0 2X 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 0
generates a code of length 56 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 52.
Homogenous weight enumerator: w(x)=1x^0+36x^52+950x^56+36x^60+1x^112
The gray image is a code over GF(2) with n=448, k=10 and d=208.
This code was found by Heurico 1.16 in 0.125 seconds.