The generator matrix
1 0 1 1 1 1
0 1 X+1 0 0 0
0 0 2 0 0 0
0 0 0 2 0 0
0 0 0 0 2 0
0 0 0 0 0 2
generates a code of length 6 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 2.
Homogenous weight enumerator: w(x)=1x^0+34x^2+127x^4+448x^5+2876x^6+448x^7+127x^8+34x^10+1x^12
The gray image is a code over GF(2) with n=48, k=12 and d=8.
This code was found by Heurico 1.16 in 0.015 seconds.