The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+132x^59+286x^60+418x^61+508x^62+386x^63+314x^64+354x^65+355x^66+306x^67+263x^68+210x^69+139x^70+134x^71+89x^72+62x^73+81x^74+34x^75+7x^76+12x^77+5x^78

The gray image is a code over GF(2) with n=260, k=12 and d=118.
This code was found by Heurico 1.16 in 0.685 seconds.