The generator matrix

 1  0  1  1  1 X+2  1  1 3X  1  1 3X+2  1  1  1  1  1  1 2X  1 X+2  1  X  X  1
 0  1  1 2X+2 X+1  1  X 2X+1  1  0 2X+1  1 X+2  0 X+3 X+1 3X 2X  1  2  1  X X+2 2X+2 2X
 0  0  X 3X 2X 3X 3X 2X X+2  2 3X+2  0 2X+2 X+2 3X+2  2  0  X 3X X+2 2X+2  X  X  X X+2

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+108x^22+282x^23+453x^24+510x^25+322x^26+190x^27+118x^28+34x^29+16x^30+8x^31+4x^32+2x^34

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 0.031 seconds.