The generator matrix

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

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+74x^18+48x^19+161x^20+144x^21+186x^22+144x^23+145x^24+48x^25+54x^26+11x^28+6x^30+2x^32

The gray image is a code over GF(2) with n=88, k=10 and d=36.
This code was found by Heurico 1.16 in 1.25 seconds.