The generator matrix

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

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+228x^62+218x^64+246x^66+132x^68+100x^70+63x^72+26x^74+4x^78+4x^82+1x^88+1x^96

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 0.841 seconds.