The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+126x^21+237x^22+244x^23+289x^24+312x^25+286x^26+218x^27+178x^28+102x^29+17x^30+16x^31+12x^32+4x^33+4x^34+2x^35

The gray image is a code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.16 in 0.059 seconds.