The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+232x^28+120x^30+105x^32+24x^34+28x^36+2x^40

The gray image is a code over GF(2) with n=120, k=9 and d=56.
This code was found by an older version of Heurico in 0 seconds.