The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  1  1  2  1  1  0  1  1  0  X  1  1 X+2  1  0  1  0  1  1 X+2  1  1  1  X  1 X+2  1  1  1  1 X+2  1  X  1  0  X  1  1  X X+2 X+2  1  X  1  1  2  0 X+2  1 X+2  1  1  1 X+2  1
 0  1  0  0  1  1  1  2  2  3  1  0  1  1  0  1  1  X X+1  X  1  X X+3  1 X+3  X  2  1 X+3 X+2  1 X+2  3 X+2  1  2  1 X+1  3  2  X X+2 X+2  1 X+3  1  1  0  2  1  2  0  0  X  3  3  X  1  1 X+2  1 X+3 X+2 X+2  1  0
 0  0  1  1  2  3  1  1  0  2  3  1  3  2  3  1  2  X  X  1 X+3 X+3 X+3  3  0  1 X+2 X+2  3  1  0  0 X+2  0  1 X+3  X X+1 X+1 X+2 X+3  1  2 X+3  1  X X+3 X+1 X+3  X  1  1  2  1 X+2  X  1 X+2  0  3  2 X+2  1 X+1  3  2
 0  0  0  X  0  X  X  X  X  X  0  2  2 X+2 X+2 X+2  2 X+2  0  2  0  2  0 X+2 X+2 X+2 X+2  2  X  X  0  2  0  0  0  0  X  X  0  2  X  2 X+2 X+2  0  X  2  X  2 X+2  X  2  2 X+2  2 X+2  0  0  X  2  0 X+2 X+2 X+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+118x^61+191x^62+304x^63+221x^64+296x^65+186x^66+144x^67+130x^68+108x^69+69x^70+72x^71+55x^72+48x^73+21x^74+36x^75+16x^76+18x^77+4x^78+4x^79+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 1.11 in 0.194 seconds.