The generator matrix

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

generates a code of length 11 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+44x^9+58x^10+80x^11+22x^12+28x^13+14x^14+8x^15+1x^16

The gray image is a code over GF(2) with n=44, k=8 and d=18.
This code was found by Heurico 1.16 in 0.000721 seconds.