The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 X X X X 1 X^2 X^2 X^2 1 X X^2 X X X
0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 2 0
0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 0 2 2 0
generates a code of length 31 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.
Homogenous weight enumerator: w(x)=1x^0+6x^30+44x^31+7x^32+4x^35+2x^38
The gray image is a code over GF(2) with n=248, k=6 and d=120.
This code was found by Heurico 1.16 in 0.016 seconds.