The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1 X+2  1 X+2  X  1  2  1  2 X+2  1  0  1 X+2  1  0  1  0  1  2  X  1  1  2  X X+2  1  0  1  1  2  X  1  1  1  1 X+2  0  1  X  X  0  1  1  1  X  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1 X+3  X X+1  0 X+2  1  1 X+3  0  X  1  1  1  0 X+2  X X+2  1  2  1 X+3  X  1  0  3  2  1  1  X  1  2  X  1  1 X+1 X+3  0  1  X  1  2  1  1  1  0 X+2 X+2  X X+2  0
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X X+2 X+1 X+3  1  X X+1  1  2  1 X+1  2  2  3  1  0  1  3  1  X  X  2  1 X+2  1  1  1  0  1  3 X+3  2  X X+1  2 X+3  1 X+1 X+3  1  2 X+3  2  2  X X+2  2 X+1  1  X  0
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  2  0  0  2  2  2  2  2  0  2  0  2  2  0  0  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  2  0  0  0  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+155x^60+164x^61+306x^62+204x^63+282x^64+136x^65+192x^66+128x^67+135x^68+60x^69+108x^70+36x^71+49x^72+24x^73+24x^74+16x^75+16x^76+10x^78+2x^84

The gray image is a code over GF(2) with n=260, k=11 and d=120.
This code was found by Heurico 1.16 in 0.3 seconds.