The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2) 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 0.015 seconds.