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

generates a code of length 25 over Z4[X]/(X^2+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 6.87e-008 seconds.