The generator matrix
1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 X 1 X X^2 X^2 0 2 1 X^2 X^2 X X
0 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2+2 X^2 X^2 0 2 0 X^2+2 X^2+2 2 X^2 X^2+2 X^2 X^2 X^2 X^2 2 0 0 2
generates a code of length 30 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.
Homogenous weight enumerator: w(x)=1x^0+48x^30+15x^32
The gray image is a code over GF(2) with n=240, k=6 and d=120.
This code was found by Heurico 1.16 in 0.015 seconds.