The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+133x^58+104x^59+292x^60+232x^61+508x^62+252x^63+414x^64+332x^65+453x^66+320x^67+351x^68+192x^69+200x^70+92x^71+116x^72+12x^73+28x^74+31x^76+19x^78+9x^80+2x^82+1x^84+1x^86+1x^92

The gray image is a code over GF(2) with n=260, k=12 and d=116.
This code was found by Heurico 1.16 in 0.987 seconds.