The generator matrix

 1  0  0  1  1  1 X+2  1  1  2  0  X  1  1  X  0  1  1  1  1  1  1
 0  1  0  0  1 X+1  1  2  0  X  1  1 X+1 X+3 X+2  X X+1  1  1  3  X  0
 0  0  1 X+1 X+3  0 X+1  X  3  1 X+2  1 X+1  X  1  1 X+1  3  X X+2 X+2  2
 0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  0
 0  0  0  0  2  2  0  2  2  2  2  2  2  0  2  0  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+104x^18+208x^19+291x^20+248x^21+282x^22+440x^23+227x^24+104x^25+86x^26+24x^27+25x^28+6x^30+2x^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 0.045 seconds.