The generator matrix

 1  1  1  1  X  X  X  1
 0  X  0  X  0  2  2  0
 0  0  X  X  X  X  X  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+10x^4+46x^5+31x^6+76x^7+173x^8+96x^9+30x^10+36x^11+8x^12+2x^13+3x^14

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 0.00052 seconds.