The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+34x^65+7x^66+12x^67+7x^68+2x^69+1x^70

The gray image is a code over GF(2) with n=260, k=6 and d=130.
This code was found by Heurico 1.16 in 0.151 seconds.