The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+64x^23+73x^24+264x^25+40x^26+48x^27+13x^28+8x^29+1x^44

The gray image is a code over GF(2) with n=200, k=9 and d=92.
This code was found by Heurico 1.16 in 0.015 seconds.