The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  2  1  0  X 2X
 0  X  0  X 2X  0 X+2 X+2  2 2X+2 X+2  2  2 3X+2 3X  X X+2  X  2  0  X  X 2X 2X 2X+2
 0  0  X  X  2 X+2 X+2  0 2X+2  0 2X  X 3X+2 3X+2  X  0 2X 2X+2 3X 2X+2  X X+2  X  X  X
 0  0  0 2X 2X 2X  0 2X  0 2X  0  0 2X 2X  0 2X 2X  0 2X  0  0  0 2X  0  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+259x^22+48x^23+600x^24+288x^25+558x^26+48x^27+198x^28+47x^30+1x^40

The gray image is a code over GF(2) with n=200, k=11 and d=88.
This code was found by Heurico 1.16 in 1.53 seconds.