The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 0 X 1 1 1 X 1 1 X X 1 X X
0 X 0 X 0 0 X X+2 2 2 X X+2 2 0 2 X 2 X X X+2 2 X X 0 0
0 0 X X 0 X+2 X 2 0 X X X+2 X X+2 0 2 X X+2 X+2 X X X+2 0 X+2 0
0 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0
0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0
0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0
generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+59x^20+172x^22+302x^24+280x^26+124x^28+60x^30+25x^32+1x^36
The gray image is a code over GF(2) with n=100, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0277 seconds.