The generator matrix

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

generates a code of length 30 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+184x^25+1078x^26+2170x^27+3846x^28+5512x^29+6976x^30+5902x^31+4035x^32+1784x^33+902x^34+278x^35+54x^36+40x^37+4x^38+2x^39

The gray image is a code over GF(2) with n=240, k=15 and d=100.
This code was found by Heurico 1.16 in 3.78 seconds.