The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+356x^15+879x^16+2752x^17+4368x^18+10694x^19+13380x^20+22866x^21+20068x^22+23458x^23+13431x^24+10478x^25+4376x^26+2794x^27+788x^28+318x^29+52x^30+10x^31+2x^33+1x^40

The gray image is a code over GF(2) with n=88, k=17 and d=30.
This code was found by Heurico 1.13 in 884 seconds.