The generator matrix
1 0 1 1 1 2 1 1 0 1 1 X 1 1 0 1 X 1 1 X+2 X+2 1
0 1 1 0 X+1 1 1 0 1 2 X+1 1 X X+3 1 1 1 X+2 0 1 1 0
0 0 X 0 0 2 0 X+2 X+2 X+2 X 2 2 0 X X 2 0 X+2 X 2 X
0 0 0 X 2 X X+2 X+2 X+2 2 X+2 X+2 X X+2 2 X 2 2 X X+2 0 X+2
generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+36x^18+96x^19+150x^20+172x^21+148x^22+162x^23+134x^24+64x^25+36x^26+12x^27+2x^28+4x^29+4x^30+2x^31+1x^32
The gray image is a code over GF(2) with n=88, k=10 and d=36.
This code was found by Heurico 1.16 in 0.0163 seconds.