The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+40x^7+57x^8+84x^9+24x^10+32x^11+14x^12+4x^13

The gray image is a code over GF(2) with n=36, k=8 and d=14.
This code was found by Heurico 1.16 in 0.000485 seconds.