The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  0  1  1  1  1  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2 X+2  0 X+2  0  2  X  0 X+2  X  2  0 X+2  2  X  0 X+2  X  2 X+2  0  0 X+2  2  X  2  X X+2 X+2  0  0  X  2  0  0  2 X+2  X  X X+2  2 X+2  0  2  0  0 X+2 X+2  2 X+2  X  2  0  2  0  2  0
 0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  2  2  2  2  2  2  0  2  0  0  2  0  2  2  0  2  2  0  0  0  0  0  2  0  0  2  0  2  2  0  0  2  0  2  2  0
 0  0  0  2  0  0  0  2  0  0  0  0  2  0  0  2  0  0  2  0  2  2  2  0  2  2  0  2  2  2  0  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  2  0  0  2  2  0  0  2  0  0  2  2  2  0  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  0  0  2  0  2  2  2  0  0  0  0  2  2  0  2  2  2  2  0  2  0  2  0  2  0  2  0  2  2  0  2  0  2  2  2  2  2  2  2  2  0  2  0  0  0  0
 0  0  0  0  0  2  0  2  0  0  2  0  2  0  0  0  2  2  2  2  2  0  2  0  0  2  2  0  0  0  2  2  2  0  0  2  0  0  2  2  2  0  2  2  0  0  2  0  0  0  0  2  2  2  2  0  2  2  0  2  0  0  2  2  0  0
 0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  2  2  2  0  2  2  0  0  2  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  2  2  0  0  0  2  0  0  2  2  0  2  0  0  2  2  0  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+24x^60+24x^61+55x^62+88x^63+63x^64+328x^65+32x^66+264x^67+16x^68+8x^69+24x^70+24x^71+16x^72+8x^73+8x^75+8x^76+16x^77+16x^78+1x^126

The gray image is a code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.254 seconds.