The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 2X+2  0  2  0 2X 2X+2 2X+2  0  2  2 2X 2X  2  0  2 2X+2 2X 2X+2 2X+2 2X 2X 2X 2X+2  0
 0  0 2X+2  2  0  2  2 2X 2X  2 2X  2 2X 2X+2 2X+2  0  0 2X+2 2X 2X+2 2X+2  0  0 2X+2  0
 0  0  0 2X 2X 2X  0 2X 2X  0  0  0  0 2X 2X 2X 2X 2X  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 22.

Homogenous weight enumerator: w(x)=1x^0+14x^22+24x^23+17x^24+400x^25+17x^26+24x^27+14x^28+1x^50

The gray image is a code over GF(2) with n=200, k=9 and d=88.
This code was found by Heurico 1.16 in 0.015 seconds.