The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1 X^2  1
 0  X  0  X  2  0 X+2  X X^2 X^2+X X^2 X^2+X X^2+2 X^2 X^2+X+2 X^2+X  0  2  X X^2+2 X^2+X  0 X^2 X^2+X+2  2  X  0
 0  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X+2  X  2  0 X^2+X X+2 X^2+2  2 X^2+X+2 X^2 X^2 X^2+X X^2+2  0 X^2+X+2 X^2+X X^2  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+45x^24+166x^25+151x^26+320x^27+142x^28+148x^29+38x^30+4x^32+6x^33+2x^34+1x^50

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 0.015 seconds.