The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 1 1 1 1 0 1 1 1 0 1 X
0 1 1 X+2 X+1 1 3 2 1 2 X+3 1 X+2 X X+1 0 0 X X+3 0 3 1
0 0 X 0 2 0 2 X X X+2 X+2 X+2 0 X+2 2 X 2 X X+2 X 0 X
0 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2
generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.
Homogenous weight enumerator: w(x)=1x^0+222x^20+120x^22+134x^24+8x^26+26x^28+1x^32
The gray image is a code over GF(2) with n=88, k=9 and d=40.
This code was found by Heurico 1.16 in 0.825 seconds.