The generator matrix

 1  1  1  1  1  1  X  1  1
 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  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+15x^4+53x^8+128x^9+32x^10+21x^12+6x^16

The gray image is a code over GF(2) with n=36, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000271 seconds.