The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+3x^22+82x^23+77x^24+190x^25+74x^26+78x^27+2x^28+2x^29+2x^30+1x^46

The gray image is a code over GF(2) with n=200, k=9 and d=88.
This code was found by Heurico 1.16 in -1.01e-007 seconds.