The generator matrix

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

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+37x^58+54x^59+183x^60+124x^61+212x^62+142x^63+220x^64+132x^65+223x^66+146x^67+195x^68+116x^69+159x^70+42x^71+31x^72+12x^73+2x^74+5x^76+4x^78+3x^80+1x^82+1x^84+1x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=260, k=11 and d=116.
This code was found by Heurico 1.16 in 0.343 seconds.