The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  1  0  1  X  1  1  X  1  1  2  1  X  1  1  1  0  0  2  1  1 X+2  1  1  1  1  1  X  0  2 X+2  1  1  1  1  1  1  X  X  1  1  1  1  1  1  1  1  1  1  X  X
 0  1  1  0 X+3  1  X X+1  1  1  1  0 X+2 X+1  1  3  X  1 X+1  1  X  1  1 X+2  0  1  3  1 X+3  0  1  1  1  1  2 X+2  1 X+3  2  0 X+3  3  1  1  1  1  2 X+3  X  3  X  1  1  1  2 X+3 X+2  X X+1 X+2 X+3 X+2 X+2 X+3  0  1
 0  0  X  0 X+2  0  0  0  2  2  2  X  X  X X+2  X  X  X  0 X+2  2  0 X+2  2 X+2  0  X  2 X+2  0 X+2  X  0  0  X X+2 X+2  0  2  2  0 X+2 X+2  2  2  X  X X+2  0 X+2 X+2  0 X+2  2  X  X  2  0 X+2  0 X+2 X+2 X+2  2 X+2  2
 0  0  0  X  0  0  X  2 X+2  X  X  X  0 X+2 X+2  X X+2  2  X X+2  0  0  2  2  0  2 X+2 X+2  2  0  2 X+2  0  X  0  X X+2 X+2 X+2  2  2  2  X  2  X  2  2  X X+2  0 X+2  2  0  2  X X+2  0  X  X  X  X X+2 X+2  X  X  X
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  0  2  0  0  2  2  2  0  0  2  2  0  2  2  0  2  0  0  2  2  0  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  0  2  0  0  2  0  0  2  2  0  2  0  2  2  2  0  0  0  0  2  0  2  2  0  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  0  2  0  0  2  0  2  0  0  0  2  0  2  2  0  2  0  0  2  2  0  2  0  0  2  2  0  2  0  2  0  0  2  2  2  2  0  2  2  2  2  0  2  2  2  0  0  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+208x^58+84x^59+448x^60+280x^61+759x^62+504x^63+797x^64+656x^65+814x^66+696x^67+827x^68+504x^69+656x^70+248x^71+326x^72+96x^73+146x^74+4x^75+66x^76+33x^78+26x^80+8x^82+3x^84+2x^88

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 70.6 seconds.