The generator matrix

 1  0  0  0  1  1  1  X  1  1  2  1  X  1  2  1  0  X  2  1  1  1  X  1  1  X  0  1  1  2 X+2  2  1  1  1  1 X+2  X  1  2  1 X+2  1  2  1  1 X+2  1  1  1  1  1 X+2  X  X  1  1 X+2 X+2  1  1  1  X  1  0  2
 0  1  0  0  X  X X+2 X+2 X+1 X+3  1  1  1  3  1  X  X  1  0  1 X+1  0  0  X  2  1  1 X+1  3  1  1  X X+1 X+1 X+2 X+3  1  X  3 X+2  2  1 X+1 X+2  X  X  0 X+1  1  X  X  1  1  1  1  2 X+2  0  2  0  2  2  1 X+1  1  1
 0  0  1  0  X X+3 X+3  1 X+1 X+2  3  2  X X+3 X+1 X+3  1  3  1 X+1  3  2  2  2  1 X+2 X+2  2  0 X+2  1  1 X+2  1 X+2  2 X+3  2  2  1 X+3  1  3  1  1  0  X  X X+1 X+2 X+1  3  0 X+2  1 X+1  1  1  2  0  1 X+1  0  X  1 X+2
 0  0  0  1 X+1 X+3  X X+3 X+3 X+2 X+1 X+3  1  X  2  0  3  X  X  1 X+2  3  1  0  1 X+3  0  3  2 X+3  3 X+1 X+1  2  3  X  0  1  1  X  2 X+3 X+3 X+3  3  X  1 X+2 X+2  3  1  1  3  2  0  1  3  3  1 X+3  3 X+1  0  3  1  3
 0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  2  0  2  0  0  0  2  0  2  0  0  2  0  0  2  2  2  2  0  2

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+182x^59+413x^60+514x^61+668x^62+746x^63+672x^64+704x^65+771x^66+732x^67+637x^68+528x^69+447x^70+370x^71+295x^72+194x^73+115x^74+74x^75+62x^76+42x^77+13x^78+8x^79+2x^81+2x^82

The gray image is a code over GF(2) with n=264, k=13 and d=118.
This code was found by Heurico 1.13 in 1.26 seconds.