The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+24x^4+86x^5+157x^6+444x^7+875x^8+964x^9+778x^10+496x^11+186x^12+54x^13+25x^14+4x^15+2x^16

The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0105 seconds.