The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  X  1 2X+2  1  1  X 2X+2  1  1  1
 0  2  0  0  0 2X+2  2 2X+2  0 2X  2  0 2X  2 2X 2X+2 2X+2 2X+2  2  2  2  2  2 2X  0
 0  0  2  0 2X+2 2X+2 2X+2 2X  0 2X 2X+2 2X+2  0 2X  0  0  2 2X  0  2 2X+2 2X+2  0 2X 2X
 0  0  0  2 2X+2 2X  2  2  0  2 2X  2 2X 2X 2X+2  2  2 2X+2  2 2X+2  0  2 2X 2X+2 2X
 0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X 2X 2X  0 2X  0  0 2X 2X 2X  0  0 2X  0

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+27x^20+52x^21+101x^22+198x^23+386x^24+546x^25+407x^26+172x^27+59x^28+40x^29+32x^30+14x^31+3x^32+2x^33+3x^34+4x^36+1x^38

The gray image is a code over GF(2) with n=200, k=11 and d=80.
This code was found by Heurico 1.16 in 0.047 seconds.