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 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 2 1 1 1 1
0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 0
0 0 2X 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 2X 0 0 0 0 2X 0 0 0 0 0 0 2X 0 0
0 0 0 2X 0 0 0 0 2X 0 0 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 2X 0 2X 0 2X 2X 0 2X 2X 0
0 0 0 0 2X 0 0 0 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 0 0 0 2X 2X 0 2X 0 0
0 0 0 0 0 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 0 2X 0 0 0 0 2X 0 2X 0 2X 2X 2X 2X 0 0 0 2X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 0 2X 0 0
0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 0 0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 0
0 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 0 0 0 2X 0
generates a code of length 56 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 48.
Homogenous weight enumerator: w(x)=1x^0+35x^48+29x^50+43x^52+32x^53+28x^54+352x^55+1040x^56+352x^57+28x^58+32x^59+14x^60+20x^62+10x^64+13x^66+7x^68+7x^70+2x^72+2x^74+1x^102
The gray image is a code over GF(2) with n=448, k=11 and d=192.
This code was found by Heurico 1.16 in 0.203 seconds.