The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+164x^61+202x^62+294x^63+146x^64+288x^65+185x^66+190x^67+50x^68+144x^69+106x^70+106x^71+28x^72+44x^73+26x^74+18x^75+14x^76+28x^77+8x^78+1x^80+4x^81+1x^82

The gray image is a code over GF(2) with n=264, k=11 and d=122.
This code was found by Heurico 1.16 in 0.294 seconds.