The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+104x^17+222x^18+316x^19+507x^20+564x^21+626x^22+696x^23+475x^24+272x^25+170x^26+76x^27+41x^28+20x^29+6x^30

The gray image is a code over GF(2) with n=88, k=12 and d=34.
This code was found by Heurico 1.16 in 60.6 seconds.