The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+72x^27+100x^28+76x^29+76x^30+48x^31+56x^32+40x^33+12x^34+8x^35+10x^36+12x^37+1x^40

The gray image is a code over GF(2) with n=120, k=9 and d=54.
This code was found by Heurico 1.16 in 0.0592 seconds.