The generator matrix
1 0 1 1 1 X+2 1 2 1 1 X 1 0 1 1 1 1 1 1 0 X+2 X
0 1 1 X+2 X+3 1 2 1 X+1 X 1 3 1 X 2 3 2 X 2 1 1 0
0 0 X 0 X+2 2 X X 0 X+2 X+2 0 2 X X 2 2 0 X+2 X 0 0
0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2
0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 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+65x^18+72x^19+161x^20+120x^21+190x^22+120x^23+174x^24+72x^25+29x^26+13x^28+4x^30+3x^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 0.0168 seconds.