The generator matrix

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

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+110x^60+300x^61+373x^62+508x^63+463x^64+408x^65+292x^66+364x^67+240x^68+242x^69+193x^70+180x^71+120x^72+96x^73+72x^74+52x^75+46x^76+22x^77+4x^78+4x^80+4x^81+2x^82

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 0.702 seconds.