The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+12x^22+52x^24+128x^25+48x^26+8x^28+4x^30+3x^32

The gray image is a code over GF(2) with n=200, k=8 and d=88.
This code was found by Heurico 1.16 in -1.01e-007 seconds.