The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  1  0  1  1  X  X  1  1  1  1 X+2  1  1  1  X  1  1  1  1  1  1  0  1 X+2  1  1  0 X+2  1  1  X X+2  X  2  1 X+2  1  1  1 X+2  1  1  2  1  1  0  1  0  1  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1  0  1  X X+3  1  2  1  1  1  X X+3  3  X  1 X+1 X+3  0  1  2  1 X+2  3  3  3  1 X+2  1  2  0  1  1 X+2  3  1  1  0  1 X+3  1 X+2  1 X+2  1  3 X+2  2  3  1  1 X+1  1  3  0
 0  0  X  0 X+2  0 X+2  2  X  X X+2  0  X  0  2 X+2  2 X+2 X+2  2 X+2  0  2 X+2  2  X  0  2  X  0 X+2  X  X  0  X  0 X+2  0  2  2  X  0  0  X  0  2  X  X X+2 X+2  0 X+2  X  0  2 X+2  2 X+2  X X+2  X  0  0  X X+2  0
 0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  2  0  2  0  2  2  0  0  0  0  2  2  2  2  2  0  2  2  2  0  0  0  2  2  2  2  0  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  2  0  0  2  2  2  0  2  0  0  2  0  2  2  2  2  2  2  0  0  2  2  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  2  2  2  0  0  0  0  0  2  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  0  2  0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  0  0  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  2  0  2  0  2  2  2  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+36x^58+82x^59+157x^60+248x^61+317x^62+332x^63+387x^64+382x^65+361x^66+410x^67+332x^68+308x^69+226x^70+168x^71+129x^72+68x^73+64x^74+26x^75+13x^76+12x^77+15x^78+4x^79+2x^80+6x^81+3x^82+2x^83+2x^84+2x^86+1x^88

The gray image is a code over GF(2) with n=264, k=12 and d=116.
This code was found by Heurico 1.16 in 1.02 seconds.