The generator matrix

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

generates a code of length 27 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+74x^24+96x^25+308x^26+64x^27+308x^28+96x^29+74x^30+1x^32+2x^38

The gray image is a code over GF(2) with n=216, k=10 and d=96.
This code was found by Heurico 1.16 in 0.016 seconds.