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 X
0 2X+2 0 2X+2 0 2X+2 2X 2 0 2X+2 0 2X+2 0 2X+2 2X 2 0 2X+2 2X 2 2X 2 2X 2 0
0 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 2X 0 2X 0
0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0
0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X
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+20x^22+46x^24+384x^25+40x^26+16x^28+4x^30+1x^48
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.