The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  1 X+2  X  1  1  1  0  1  1  2 X+2  1
 0  1  0  0  1 X+3  1  1  3  1  X X+2  1  X X+2  3  1 X+3 X+1  X  1 X+2
 0  0  1  1 X+1  0  1  1  X  1  2  1  0  1  3 X+2  X X+2  3  1 X+3 X+1
 0  0  0  X  X X+2 X+2  2 X+2  X  X  X  X  0 X+2  2  X  2  X X+2  0  0
 0  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  0  2  0  2  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+56x^17+196x^18+402x^19+408x^20+700x^21+593x^22+724x^23+421x^24+336x^25+134x^26+74x^27+34x^28+12x^29+5x^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 0.168 seconds.