The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+108x^20+198x^21+394x^22+428x^23+632x^24+602x^25+705x^26+344x^27+356x^28+186x^29+81x^30+28x^31+23x^32+6x^33+3x^34+1x^38

The gray image is a code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 0.206 seconds.