The generator matrix

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

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+219x^60+164x^61+547x^62+168x^63+662x^64+248x^65+560x^66+176x^67+379x^68+88x^69+340x^70+88x^71+179x^72+72x^73+108x^74+16x^75+56x^76+4x^77+13x^78+6x^80+2x^84

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 1.12 seconds.