The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^25+3x^26+3x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=100, k=5 and d=50.
This code was found by Heurico 1.16 in 0.00524 seconds.