The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^8+96x^9+232x^10+416x^11+406x^12+416x^13+240x^14+96x^15+59x^16+8x^18+2x^20

The gray image is a code over GF(2) with n=48, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0127 seconds.