The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+50x^58+210x^59+327x^60+552x^61+660x^62+618x^63+710x^64+738x^65+738x^66+718x^67+708x^68+578x^69+460x^70+364x^71+256x^72+212x^73+126x^74+68x^75+37x^76+26x^77+8x^78+6x^79+9x^80+6x^81+6x^82

The gray image is a code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 3.27 seconds.