The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  0  X  0  2  2
 0  X  0 X+2  0 X+2  2 X+2  0 X+2  0  0 X+2 X+2 X+2  2  X  X X+2  X  2  0
 0  0  2  0  0  0  2  0  0  0  2  0  2  2  2  2  2  0  0  0  2  2
 0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  2  0  0  2  2  0  2
 0  0  0  0  2  0  2  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2
 0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  2  0  2  0  2  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+71x^18+109x^20+158x^22+105x^24+56x^26+7x^28+2x^30+2x^32+1x^34

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 0.0185 seconds.