The generator matrix

 1  0  1  1  1 X+2  1  1  0 X+2  1  1  1  1  2  1  X  1  1  1  2  X  1  1  1 X+2  1  0  1  1  1  1  1  X  1 X+2  1  X X+2 X+2  1  1  1  1  X  1  1  1  1  1  1  1  1  0  1  1  X  1  1  1  1  1  1  1 X+2 X+2
 0  1  1  0  1  1  X X+3  1  1 X+3 X+2  1  2  1  0  1  3  1  X  1  1  X X+1 X+3  1  1  1 X+2  0 X+2 X+3 X+2  1  0  1  1  1  1  1 X+3 X+1 X+2  2  1  3 X+2 X+3 X+2  0 X+2  X  0  1 X+1  0  1  3 X+3  2 X+2  1  X  X  1  1
 0  0  X  0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  0  2  2  X  X X+2 X+2  X X+2 X+2  X X+2  X  X X+2  2  X X+2 X+2  2  2 X+2  0 X+2  X  0  X  X  2 X+2  X  2  X  X  2  0  X  2 X+2  0  0 X+2 X+2  X  0  2
 0  0  0  X  0  0  X  2  X X+2  X  2 X+2  0  X X+2  2  X  2  2  2 X+2 X+2  0  0  2  0  0  2 X+2  2 X+2 X+2 X+2  2  X  2  X  2  2 X+2  X  2  X  X  X X+2  X  X  0  0 X+2 X+2 X+2  0  X  0  0 X+2  X  X  0  0  0 X+2 X+2
 0  0  0  0  X  0  0  X  X X+2  2  2  2  X  2  X X+2 X+2  2 X+2 X+2  0  X X+2  2  X X+2  0 X+2  0  2 X+2  X X+2 X+2 X+2 X+2  2  X X+2 X+2 X+2  0  X  2  2  2  0  0  0  X  X  2 X+2  2 X+2 X+2 X+2  2  2  X  2  0 X+2  X X+2
 0  0  0  0  0  2  2  2  2  0  2  2  0  2  2  2  2  2  2  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  2  2  2  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+162x^58+88x^59+477x^60+280x^61+737x^62+552x^63+817x^64+616x^65+911x^66+616x^67+779x^68+552x^69+637x^70+280x^71+321x^72+88x^73+131x^74+74x^76+38x^78+25x^80+8x^82+2x^92

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 6.29 seconds.