The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+66x^65+20x^66+14x^67+6x^68+6x^69+4x^70+2x^71+1x^72+8x^73

The gray image is a code over GF(2) with n=264, k=7 and d=130.
This code was found by Heurico 1.16 in 0.322 seconds.