The generator matrix

 1  0  1  1  1 X+2  1  1  1 2X+2  1 3X  1  1  1  1  0  1  1  1  1 X+2  X  1  1
 0  1 X+1 X+2  3  1 3X+3 2X+1 2X+2  1 3X  1  3 X+1 3X+3  0  1  3 X+1 2X+1 X+2  1 2X+2 2X+2 3X
 0  0 2X  0  0  0 2X  0 2X 2X 2X 2X 2X  0  0  0 2X 2X  0  0  0 2X 2X  0  0
 0  0  0 2X  0 2X 2X 2X 2X 2X  0  0  0  0 2X 2X  0 2X 2X  0  0 2X  0  0  0
 0  0  0  0 2X  0 2X 2X  0  0  0  0 2X 2X 2X  0  0 2X  0  0 2X 2X 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+170x^22+192x^23+469x^24+384x^25+487x^26+192x^27+135x^28+13x^30+2x^32+1x^34+1x^36+1x^38

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 0.094 seconds.