The generator matrix

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

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+36x^4+254x^8+512x^9+128x^10+84x^12+9x^16

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 0.00145 seconds.