The generator matrix

 1  0  0  1  1  1 X+2  X  1  1  X  1  1  2  1  1 X+2  1  X  X  1  1  2  X  1  1  0  1  0  1  1  X  1 X+2  2  1  1  1  2  2  0  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  X  1  0  1  1 X+2  1  1
 0  1  0  0  3 X+1  1  2  2 X+3  1  0  1  1  0 X+1  1  1  1 X+2  2  3  1 X+2  1  0  1  0  1  1 X+2  1 X+3  1 X+2 X+1  X X+2 X+2  X  1  0  2 X+3  3 X+3  2  1  X  X X+1  1 X+2  3  3 X+1 X+3  1 X+1 X+2  0 X+2  1 X+2  0
 0  0  1  1  3  2  3  1  0 X+1  0 X+3  0  3  1  2  3 X+1 X+2  1 X+2  X X+1  1 X+3 X+2  0 X+3 X+1  X  1 X+2 X+1 X+2  1  2  3  3  1  1  1 X+2  1  2  2 X+1  3  1  0  2  X  X  X  1  X X+3  1  1 X+2  1  0  2 X+3 X+3 X+2
 0  0  0  X  X  0  X  X  X  0  X  2 X+2  2 X+2  2 X+2  X X+2  2 X+2 X+2  0 X+2  0  0  X X+2 X+2  2  X  0  X  2  0  X X+2  0 X+2  2 X+2  X  2 X+2  2  2  0  2  X  0  X  X  2  2  0 X+2  0  2  0  X X+2 X+2  2  0 X+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+126x^60+220x^61+272x^62+200x^63+282x^64+198x^65+160x^66+106x^67+120x^68+64x^69+107x^70+66x^71+35x^72+12x^73+35x^74+26x^75+4x^76+9x^78+2x^79+2x^81+1x^82

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 0.281 seconds.