The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  0  X  1  1  1  1  X  1  1  1  1  1  X  1  X
 0  1  1  0 X+1  1 X+3  0  1  2  1  1  1  1 X+1  X  X  1  1 X+2 X+1 X+1  0  X  1  0  2
 0  0  X  0  0  0  0 X+2 X+2 X+2  X X+2  2  2 X+2  X X+2  2  X  0  2  X  0  2 X+2  2  0
 0  0  0  X  2 X+2 X+2 X+2 X+2  2  X  0  0 X+2  X  2 X+2  X  X  2  0  0 X+2  X  2 X+2  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+274x^24+232x^26+316x^28+144x^30+43x^32+8x^34+4x^36+2x^40

The gray image is a code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0908 seconds.