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 X 1 1 1 1 2 1 1 0 1 1 1 2 1 1 2 1 1 1 0 1 1 0 1 1 2 1 1 X 1 1
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 X 0 X+2 2 X 2 X 0 X 2 X+2 X 0 X+2 2 X+2 0 0 2 X+2 X X 0 2 X X+2 X+2 0 X X 2 0 X+2 X 2 0 0 2 2 2 0 X X X+2 2 X+2 X+2 X 0 0
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 0 2 2 X+2 X 2 0 0 X+2 2 2 X X+2 0 X X X+2 X X+2 0 0 X+2 X X+2 2 0 X X 0 X+2 0 X 2 2 X 2 2 X+2 0 2 0 0 X+2 2 2 X+2 0 2 X+2 0
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X 2 X 2 X+2 0 X+2 0 2 X 2 X X 2 X X 0 0 2 X X+2 X+2 2 X+2 0 2 X 0 0 2 X+2 X+2 0 X+2 X 2 X 2 0 2 2 X 0 2 X X 2 2 X X X
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X 2 2 X+2 0 X+2 0 X+2 X+2 X+2 0 X+2 0 X 0 2 0 X+2 X 0 0 X+2 0 X+2 2 X+2 0 2 X X+2 X X+2 X X+2 0 X X+2 X 0 X 0 2 0 X X X+2 2 X X+2
generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.
Homogenous weight enumerator: w(x)=1x^0+98x^58+205x^60+32x^61+218x^62+144x^63+292x^64+176x^65+306x^66+112x^67+146x^68+48x^69+102x^70+92x^72+38x^74+29x^76+4x^78+2x^80+2x^82+1x^112
The gray image is a code over GF(2) with n=260, k=11 and d=116.
This code was found by Heurico 1.16 in 0.406 seconds.