The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  X  1  X  2  1  1  X
 0  X  0  0  0  X X+2  X  0  2  X  2  2  0 X+2 X+2 X+2 X+2  X X+2 X+2  0
 0  0  X  0  X  X  X  2  0  2 X+2  0  X  X  2 X+2  X  X  2  0 X+2  X
 0  0  0  X  X  2 X+2 X+2  0 X+2  2  2  0 X+2  0  X X+2  X  X X+2  0 X+2
 0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  0  0  0  2  2  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+97x^18+48x^19+197x^20+80x^21+218x^22+80x^23+158x^24+48x^25+61x^26+25x^28+8x^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 0.0255 seconds.