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 2X+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+2X+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 0.016 seconds.