The generator matrix

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

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+9x^20+34x^21+45x^22+28x^23+6x^24+2x^25+2x^26+1x^42

The gray image is a code over GF(2) with n=88, k=7 and d=40.
This code was found by Heurico 1.16 in 0.00256 seconds.