The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  0  1  1 X+2  1  1  2  1  1  X  1  1  0  1  1 X+2  1  1  1  1  2  X  1  1  X  X  0  X  2  X  1  1  1  1  1  1  0  1  1  2  0  X  X X+2  X  X  X  2  2  0  2
 0  1 X+1 X+2  3  1  2 X+3  1  X  1  1  0 X+1  1 X+2  3  1  2 X+3  1  X  1  1  0 X+1  1 X+2  3  1  2 X+3  X  1  1  1  0 X+2  0 X+2  X  X  X  2 X+1 X+3  2  3  X  1  1  0 X+2  X  1  0 X+2  1  1  X  2  2  0  2  1

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+24x^65+23x^66+8x^67+7x^68+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 0.238 seconds.