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

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

Homogenous weight enumerator: w(x)=1x^0+23x^66+16x^67+23x^68+1x^70

The gray image is a code over GF(2) with n=264, k=6 and d=132.
This code was found by Heurico 1.16 in 0.16 seconds.