The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^24+112x^25+86x^26+56x^27+60x^28+72x^29+28x^30+8x^31+9x^32+8x^33+14x^34

The gray image is a code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.13 in -2.67e-008 seconds.