The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+28x^8+48x^9+222x^10+1168x^11+1164x^12+1168x^13+220x^14+48x^15+23x^16+6x^18

The gray image is a code over GF(2) with n=96, k=12 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.