The generator matrix

 1  0  1  1  1 X+2  1  2  1  1  X  1  0  1  1  1  1  1  1  0 X+2  X
 0  1  1 X+2 X+3  1  2  1 X+1  X  1  3  1  X  2  3  2  X  2  1  1  0
 0  0  X  0 X+2  2  X  X  0 X+2 X+2  0  2  X  X  2  2  0 X+2  X  0  0
 0  0  0  2  0  2  0  2  2  2  0  0  2  0  2  0  2  0  0  0  2  2
 0  0  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  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+65x^18+72x^19+161x^20+120x^21+190x^22+120x^23+174x^24+72x^25+29x^26+13x^28+4x^30+3x^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 0.0168 seconds.