The generator matrix

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

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+169x^60+32x^61+128x^63+137x^64+192x^65+128x^67+125x^68+32x^69+62x^72+17x^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 0.416 seconds.