The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  0  1  1  0  2  1  1
 0  X  0  0  2 X+2 X+2 X+2  0  2  2  X  X  0  X  0 X+2  0  X  2 X+2  2
 0  0  X  0 X+2 X+2  X  0  2 X+2  2 X+2  2  2  X  X X+2  X  X  X  0  0
 0  0  0  X  X  2  X X+2  2  2 X+2  X  0  X X+2  0  0 X+2  X  X  0  X

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+30x^18+12x^19+110x^20+52x^21+130x^22+52x^23+71x^24+12x^25+26x^26+9x^28+6x^30+1x^36

The gray image is a code over GF(2) with n=88, k=9 and d=36.
This code was found by Heurico 1.16 in 0.00755 seconds.