The generator matrix

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

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+54x^22+104x^23+102x^24+50x^25+85x^26+40x^27+23x^28+26x^29+13x^30+4x^31+10x^32

The gray image is a code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.13 in -6.29e-008 seconds.