The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+14x^24+96x^25+14x^26+1x^32+2x^34

The gray image is a code over GF(2) with n=100, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00372 seconds.