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  2  1  1  1  1  1  1  1  0  1  1  1  1  2  1  1
 0  X  0 X+2  0 X+2  0  X  0 X+2  X  0 X+2  0  2  X  2 X+2 X+2  0  0 X+2 X+2  2  0 X+2  2 X+2  2 X+2  2  X  X  0 X+2  0 X+2 X+2  2  X  2  2  X  X  2  2  2  X  2  2  0 X+2 X+2  0  2  0  0  2 X+2 X+2 X+2  X  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  0  0  2  2  0  2  2  2  2  2  0  0  2  2  0  2  2  2  0  0  2  2  0  0  0  0
 0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  0  0  2  0  0  2  2  0  0  0  2  2  0  2  2  2  2  2  2  0  0  2  2  0  0  0  2  0  0  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  0  2  2  2  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0  2  0  2  0  2  2  0  2  0  2  0
 0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  0  0  2  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  0  2  2  2  0  0  2  2  2  2  2  0  0  0  0  2  0  0  2  0  0  0  2  0  0  0  2  2
 0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2  0  0  0  0  0  2  2  0  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  2  2  0  2  0  2  0  0  2  0  0  0  0  2  0  2  2  0  2  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+71x^60+208x^62+335x^64+272x^66+16x^68+16x^70+48x^72+16x^74+40x^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 0.246 seconds.