The generator matrix

 1  1  1  1  X  X  1  1  1
 0  X  0 X+2  X  X  0  0  0
 0  0  2  0  0  0  0  2  0
 0  0  0  2  0  0  0  2  0
 0  0  0  0  2  0  0  2  0
 0  0  0  0  0  2  0  2  0
 0  0  0  0  0  0  2  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+29x^4+31x^6+128x^7+67x^8+512x^9+67x^10+128x^11+31x^12+29x^14+1x^18

The gray image is a code over GF(2) with n=36, k=10 and d=8.
This code was found by Heurico 1.16 in 0.0013 seconds.