The generator matrix
1 0 1 1 1 0
0 1 1 X+2 X+3 1
0 0 X 0 X+2 2
0 0 0 2 2 0
generates a code of length 6 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+55x^4+128x^5+144x^6+128x^7+55x^8+1x^12
The gray image is a code over GF(2) with n=24, k=9 and d=8.
This code was found by Heurico 1.16 in 0.000415 seconds.