The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  X  X  1  2  1  2  X  1  1 X+2  0  1  1  1
 0  1  0  0  1  1  1  X  2  3 X+2  1  1  3  X  0  1  2  X  2  X  1 X+3 X+2  3
 0  0  1  1  2  3  1  1  X X+2  1  1  0 X+3  1 X+1 X+1  1 X+1  1  1 X+2  2  0 X+1
 0  0  0  2  0  2  2  2  2  2  0  0  2  0  0  2  2  2  0  0  2  0  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+173x^22+104x^23+235x^24+80x^25+228x^26+48x^27+70x^28+16x^29+45x^30+8x^31+14x^32+2x^34

The gray image is a code over GF(2) with n=100, k=10 and d=44.
This code was found by Heurico 1.11 in 0.0677 seconds.