The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+18x^4+32x^5+40x^6+96x^7+138x^8+96x^9+40x^10+32x^11+18x^12+1x^16

The gray image is a code over GF(2) with n=32, k=9 and d=8.
This code was found by Heurico 1.16 in 0.000376 seconds.