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  1  1  1  1  2  1  1  1  1  2  1  1  2  1  1
 0  X  0  X  0  0  X  X  2  0  X X+2  2  0  X X+2  0  0  X X+2  0  2  X  X  X  0  2 X+2  X  0  0  X  2  2 X+2 X+2 X+2  X X+2  X  0 X+2  0  2  2  0  2  2  0  2  2  0  2 X+2  0 X+2 X+2 X+2 X+2  0 X+2 X+2  2 X+2 X+2
 0  0  X  X  0 X+2  X  0  X  0 X+2  2  X  0 X+2  2  X  0  X  0  2  X  0 X+2  X  0  X  0 X+2  2 X+2  0  2  2  0 X+2  0  2  X  2  2 X+2  2  2 X+2 X+2  0  X  X  2  X X+2  0  X  2 X+2  X X+2  X  0  0  2  0  0  2
 0  0  0  2  0  0  2  0  2  2  0  2  2  2  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  2  0  2  0
 0  0  0  0  2  0  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  2  2  2  2  0  2  0  0  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2  2  2  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  2  0  0  2  0  0  2  0  2  0  0  2  0  0  2  2  2  2  2  0  0  0  0  0  0  2  2  0  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+131x^60+136x^62+283x^64+208x^66+172x^68+40x^70+36x^72+16x^76+1x^124

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 0.395 seconds.