The generator matrix

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

generates a code of length 25 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+32x^20+50x^21+100x^22+96x^23+142x^24+1262x^25+121x^26+80x^27+68x^28+30x^29+27x^30+16x^31+13x^32+2x^33+7x^34+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.