The generator matrix

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

generates a code of length 22 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+59x^20+48x^21+66x^22+32x^23+26x^24+16x^25+2x^26+1x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=88, k=8 and d=40.
This code was found by Heurico 1.16 in 0.00331 seconds.