The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  1  X  1  X  X  X  X  X  X  X  X  X
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  2  0  0
 0  0  2  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  2  0  0  0  0  0  0  0  2
 0  0  0  2  0  2  2  2  0  0  0  0  0  2  2  0  2  2  2  2  2  0  2  2  0  0  0
 0  0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  2  0  0  0  2  2  2  2

generates a code of length 27 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+14x^25+12x^26+208x^27+12x^28+4x^30+3x^32+2x^41

The gray image is a code over GF(2) with n=216, k=8 and d=100.
This code was found by Heurico 1.16 in 0.093 seconds.