The generator matrix

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

generates a code of length 8 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+26x^5+153x^6+360x^7+973x^8+356x^9+150x^10+24x^11+2x^12+2x^13+1x^14

The gray image is a code over GF(2) with n=64, k=11 and d=20.
This code was found by Heurico 1.16 in 3.81e-009 seconds.