The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  1 X+2  0  1 X+2  1  0  1  1  1  2  1  X  1  1 X+2  X  1  1  X  1  1  2  1  2  1  1  1  1  1  X  2  1  1  1  1  X  1 X+2  X  1  1  2  1  1  1  0  X  0  X  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1  0  1 X+2  1  X  1 X+1  1 X+3  0  2  1 X+3  X  2  2  1  1 X+2  3  1 X+2  1  X  2  X  3  2  2  1  2  1  X  1  X  1  0  1  2  1  1  X X+2  1  3 X+1  X  1 X+2  1  0  0
 0  0  1  1  1  0  1  3  1  1  1  0  2  X  3  1  1  1  0  X X+2 X+2  X  2 X+3 X+3 X+1  1 X+2  0  2 X+3  1 X+1  3 X+1  X  1 X+2  1 X+1 X+1  3  3  X  2  1  1 X+2  2 X+1  0 X+3 X+3 X+3  X  3 X+2  0  1 X+1 X+2  1 X+1 X+2  0
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X X+2  2 X+2  0  0  X X+2 X+2  2  2  0  X X+2  X X+2 X+2 X+2  2  2  0  0  2  0  0  2  2  2  2  2  X  X X+2  X X+2  2  X X+2  X  2  2 X+2  X  0  2 X+2  2 X+2 X+2 X+2  0  2  X  2
 0  0  0  0  X  2  X X+2  2  2 X+2  X  X X+2  2 X+2 X+2  2  2  0  2  X  X  X  X X+2 X+2  2  X  2  2 X+2  2  2 X+2 X+2 X+2  0  0  X  0  2  2  0 X+2 X+2 X+2  X  0  0  0  X X+2  X  0  0  2  2  2 X+2  X  X  0  2 X+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+50x^58+248x^59+375x^60+496x^61+597x^62+602x^63+724x^64+744x^65+824x^66+720x^67+582x^68+642x^69+450x^70+358x^71+287x^72+188x^73+135x^74+62x^75+45x^76+18x^77+19x^78+8x^79+2x^80+8x^81+5x^82+2x^83

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 3.63 seconds.