The generator matrix

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

generates a code of length 12 over Z2[X]/(X^4) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+92x^10+272x^11+332x^12+224x^13+80x^14+16x^15+3x^16+4x^18

The gray image is a linear code over GF(2) with n=96, k=10 and d=40.
This code was found by Heurico 1.16 in 0.047 seconds.