The generator matrix
1 0 1 1 1 2 1 1 X 1 1 X+2 X 1 1 0 1 1 X+2 1 1 1 1 2 X X+2 X X X 2 2 2 X 2 X 2 0 X+2 2 X+2 0 2 X 1 1 1 1 1 1 2 1 1 0 1 X X+2 1 0 1 1
0 1 1 0 X+1 1 X+3 0 1 2 1 1 1 X 3 1 X X+1 1 X+2 X+1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 X+3 1 0 X 1 1 3 1 1 1 1 X+3 1 X 2
0 0 X 0 0 0 0 X X+2 X X X X+2 X+2 2 2 2 X+2 X+2 X+2 X+2 2 2 2 X+2 0 2 0 0 X X+2 X+2 2 X 2 X+2 X X+2 2 2 X X+2 0 0 X+2 2 X X 0 0 X+2 2 0 0 X+2 X 0 2 X X
0 0 0 X 2 X+2 X+2 X 2 2 X+2 X 0 0 0 2 2 2 X X+2 X X+2 X X+2 X+2 0 0 X X+2 0 2 X 2 X+2 X+2 X+2 2 2 2 X X 0 2 2 X+2 X 2 0 X X X 2 X 0 X 2 X 0 X+2 0
generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.
Homogenous weight enumerator: w(x)=1x^0+210x^56+56x^57+108x^58+72x^59+172x^60+72x^61+72x^62+56x^63+177x^64+12x^66+10x^68+4x^72+2x^92
The gray image is a code over GF(2) with n=240, k=10 and d=112.
This code was found by Heurico 1.16 in 0.146 seconds.