The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+20x^5+46x^6+64x^7+206x^8+344x^9+220x^10+64x^11+32x^12+20x^13+6x^14+1x^16

The gray image is a code over GF(2) with n=36, k=10 and d=10.
This code was found by Heurico 1.16 in 0.00202 seconds.