The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1 X^2  X  1 X^2  X  X  1
 0 X^2+2  0 X^2+2  0 X^2+2  2 X^2  0 X^2+2  0  0 X^2+2 X^2+2 X^2  2  0  2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2  0
 0  0  2  0  0  0  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  2  0  0  0
 0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  0  2  2  2  0  0  2  0  2  0
 0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  0  2  0  2  0  2  2  2  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  0  0  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+23x^20+24x^21+19x^22+160x^23+26x^24+528x^25+22x^26+160x^27+8x^28+24x^29+20x^30+5x^32+2x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=200, k=10 and d=80.
This code was found by Heurico 1.16 in 0.016 seconds.