The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1  1  1  1 X+2 X+2  1  X  0  1
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3 X+2  X X+1 X+2  1  1  1  0  1  X  1
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  2  0  2  0  X X+2  X X+2  0  X  X  2
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  2  0  X X+2  X  X  0  2  2 X+2  0  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+240x^22+294x^24+290x^26+148x^28+36x^30+5x^32+10x^34

The gray image is a code over GF(2) with n=100, k=10 and d=44.
This code was found by Heurico 1.16 in 0.358 seconds.