The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+89x^22+190x^24+144x^26+62x^28+22x^30+1x^32+2x^36+1x^38

The gray image is a code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.16 in 0.0142 seconds.