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  X  1  X  1  X  X  1  1  1  1  X  1  1  X  1  1  2  1  1  0  X  1  X  1  1  1  2  2  X  X  1  1  X  2
 0  X  0  0  0  X X+2  X  0  2  2  0  X X+2  X X+2 X+2 X+2 X+2  2  0  0 X+2  2 X+2  0  2  X  X  2  X  X  0 X+2  2  0  X X+2  0 X+2  2 X+2  X  0 X+2 X+2  2  2  X  0  2  2  0  0 X+2 X+2  0 X+2  X  0 X+2 X+2  2  2  X  X
 0  0  X  0  X  X X+2  0  0  0 X+2 X+2  X  X  2  0  X  2  0 X+2 X+2  2 X+2  2  0  2  X  2  X  X  X  2  0  0  X  2  X  2 X+2 X+2 X+2  X  2  0  X  X  2  0 X+2  0  0  0  X X+2  2  X  X  0 X+2  0 X+2  0  2  2  X  2
 0  0  0  X  X  0 X+2  X  2 X+2  X  2  2  X  X  2  0 X+2  0  X  2  X  X  0  0  X  2 X+2 X+2  X  X X+2 X+2 X+2  0  2  0  0  2  2  X  0  X X+2  2 X+2  X X+2  X  0  X  X  2  X  2  2 X+2  2  0  X  2  X  2  X  X  X
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  2  0  0  0  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  2  0  2  0  0  2  0  2  0  2  2  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  0  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  2  2  0  2  0  0  2  0  0  2  2  2  0  2  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  0  2  2  0  2  2  2  0  2  0  0  2  0  0  2  0  2  2  0  2  2  2  2  0  2  2  2  0  2  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+184x^58+16x^59+311x^60+72x^61+384x^62+136x^63+494x^64+256x^65+485x^66+320x^67+416x^68+168x^69+328x^70+40x^71+209x^72+16x^73+129x^74+84x^76+19x^78+20x^80+6x^82+1x^86+1x^100

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 1.66 seconds.