The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+440x^60+480x^62+905x^64+640x^66+738x^68+480x^70+307x^72+76x^76+24x^80+2x^84+3x^88

The gray image is a code over GF(2) with n=264, k=12 and d=120.
This code was found by Heurico 1.16 in 59.7 seconds.