The generator matrix

 1  0  1  1  1  0  1  1  X
 0  1  1  0  1  1 X+1 X+1  0
 0  0  X  0  0  0  0  X  2
 0  0  0  X  0 X+2  X  X  2
 0  0  0  0  X  0  X  0  2
 0  0  0  0  0  2  0  2  2
 0  0  0  0  0  0  2  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+148x^4+32x^5+688x^6+1664x^7+3294x^8+4800x^9+3168x^10+1664x^11+772x^12+32x^13+112x^14+9x^16

The gray image is a code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 0.181 seconds.