The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  0  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  1  1  0 X^2+X  1 X^2+2  1 X+2  1  1  1  1  1 X+2  1  1  1  1  1  0  2  X  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1 X^2  1
 0  1 X+1 X^2+X X^2+1  1 X^2+X+3 X^2+2  1 X+2  3  1  0 X+1  1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X^2+X X+1 X^2+1  1  1 X^2+2  1 X+2  1 X^2+X+3  3 X^2+X X+1 X^2+1  1 X^2+X+3  3  0  2 X^2+X+2  1  1  1 X+3 X^2+3 X^2+X+1  1 X+1 X^2+1 X^2+X+3  3 X^2+2 X^2 X+2  X  2  2  0  X  0
 0  0  2  0  0  0  0  2  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  0  2  0  2  0  0  2  2  2  0  2  2  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  2  0  2  0  0  2  0  2
 0  0  0  2  0  2  2  2  2  0  2  0  0  0  2  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  2  2
 0  0  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  0  0  2  0  2  2  0  0  2  2  0  2  2  2  0  2  0  0  2  0  0  2  0  2  0  2  0  0  2  0  0  0  0  2  2  0  2  2

generates a code of length 65 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+156x^61+164x^62+392x^63+124x^64+368x^65+248x^66+304x^67+64x^68+172x^69+34x^70+8x^71+2x^72+8x^73+1x^78+1x^80+1x^94

The gray image is a code over GF(2) with n=520, k=11 and d=244.
This code was found by Heurico 1.16 in 0.219 seconds.