The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) 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 -1.01e-007 seconds.