The generator matrix

 1  0  1  1 2X+2  1 3X+2  1  1  1  1  X  1  1 3X  1  1  1  0 2X  X  2  0 2X  1
 0  1  1 3X+2  1 3X+3  1 2X+2 3X+1  3 3X  1 2X+2 3X+1  1  X 2X+1 3X  1  1  1  X  X  1 3X+3
 0  0  X  0 3X  X 2X 3X 2X+2  2 3X+2  X 3X+2 X+2 3X+2 3X X+2 2X  0 3X  0  X  X 2X+2  2
 0  0  0 2X  0 2X 2X 2X 2X  0  0 2X 2X 2X  0 2X 2X  0 2X 2X 2X  0 2X 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+275x^22+636x^23+725x^24+984x^25+653x^26+488x^27+218x^28+56x^29+37x^30+12x^31+8x^32+3x^34

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 0.125 seconds.