The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  1  1 X+2  1  1  0  2  1  1  1  1  1  1  2 X+2  1  X  1  1  1  1 X+2 X+2 X+2  1  0  1  1  X  1  1  X  1  0  1  1  1 X+2  1  0  2  1 X+2  1  1  1  1  1 X+2  2 X+2  1  1
 0  1  1  0 X+1  1 X+3  0  1  2  1  1  X  1  1  X X+1  1  1  X  3 X+2 X+1  0  3  1  1 X+1  1 X+1  2  1  X  1  1  1 X+1  X X+2 X+2  1 X+2 X+1  X  1  1  2  2  1  1  3  X  0  3  1  2  2  0  2  3  1  1  1 X+3  0
 0  0  X  0  0  0  0 X+2 X+2 X+2  X X+2  2  2  2  X X+2 X+2 X+2  2  2  X X+2 X+2  X  2  X  0 X+2 X+2  X X+2  X  0 X+2  X  X  0  0  2  2 X+2  2  X  2  2  0  2  0  0  2  X  2  2 X+2  0  0  X X+2  X  0 X+2  0 X+2  0
 0  0  0  X  2 X+2 X+2 X+2 X+2  2  X  0 X+2  X  0  2  0  X  2  2  0 X+2  X  X X+2 X+2  X  0  0  2  2  0  0 X+2  X  0  X X+2  2  X  2 X+2 X+2  2 X+2  0  2  X  0  X  X  2  X  2  2 X+2  0  X X+2  2  2  X X+2  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+38x^60+142x^61+101x^62+134x^63+80x^64+158x^65+63x^66+90x^67+48x^68+56x^69+19x^70+42x^71+22x^72+8x^73+3x^74+6x^75+2x^77+2x^78+1x^80+2x^81+2x^82+2x^84+2x^86

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 0.167 seconds.