The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+190x^62+242x^64+278x^66+134x^68+122x^70+34x^72+6x^74+3x^80+4x^82+2x^84+8x^86

The gray image is a code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 3.82 seconds.