The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  X  2  1  1  1  1  1  1  1  X  X  X
 0  1  1  0 X+3  1  X X+1  1  0  1  1 X+1 X+3  1  3 X+2 X+1  0 X+2 X+2  1
 0  0  X  0 X+2  2  0  0  X  X  0  X  X  2 X+2 X+2  0  2  X  X  X  X
 0  0  0  X  0  2 X+2  0  X X+2 X+2  2  0 X+2  X X+2  2  2  X X+2  2  0
 0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  2  0  0  0  2  0  0

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+179x^18+124x^19+292x^20+264x^21+363x^22+256x^23+293x^24+120x^25+94x^26+4x^27+54x^28+3x^30+1x^34

The gray image is a code over GF(2) with n=88, k=11 and d=36.
This code was found by Heurico 1.16 in 0.968 seconds.