The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+129x^60+214x^62+202x^64+156x^66+188x^68+94x^70+21x^72+16x^74+2x^76+1x^116

The gray image is a code over GF(2) with n=260, k=10 and d=120.
This code was found by Heurico 1.16 in 0.173 seconds.