The generator matrix

 1  0  0  1  1  1  X  1  1  1  1  X  2  0  1  2  1  2 X+2  1  1  1
 0  1  0  0  3 X+3  1 X+2  2  1 X+1  1  1 X+2  0  1 X+2  X  2  0  2 X+3
 0  0  1  1  1  0  1  3 X+2  X  1 X+3  X  1  3 X+2  3  1  1 X+2 X+1 X+1
 0  0  0  X X+2 X+2  2  X X+2  2  2  X X+2 X+2  2  X  0  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+87x^18+272x^19+198x^20+318x^21+340x^22+316x^23+177x^24+208x^25+79x^26+36x^27+8x^28+2x^29+6x^30

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 0.0456 seconds.