The generator matrix

 1  0  0  1  1  1  0  1  X  1 X+2  1  1  X  1  1  1  1  0  1  1  1
 0  1  0  0  1  1  1 X+1 X+2 X+2  1 X+1  X  1  1 X+2 X+1 X+3  2  1  3  X
 0  0  1  1  0 X+1  1  2  1 X+1  2  1 X+2  1  0  X  0  1  1  3 X+2 X+1
 0  0  0  X  2 X+2  X  2  X  0  X  0  X  0  X X+2  X X+2 X+2  0  2  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+104x^18+186x^19+322x^20+288x^21+309x^22+252x^23+305x^24+140x^25+98x^26+22x^27+12x^28+4x^29+1x^30+4x^31

The gray image is a code over GF(2) with n=88, k=11 and d=36.
This code was found by Heurico 1.11 in 0.021 seconds.