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.