The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+7x^24+110x^25+7x^26+2x^33+1x^34

The gray image is a code over GF(2) with n=200, k=7 and d=96.
This code was found by Heurico 1.16 in 3.81e-009 seconds.