The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  X  1  1  1  2  1  X  1  0  1  1  2  1  1  1 X+2  X  1  1  2  1  1  1  X X+2  2  0  1  1  1  1  1  1  1  X  0  1  1  1  0  1  1  2  1  1  2  1  0  1  1  2
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  X X+3  1  3  3  2  1  0  1 X+2  1  1 X+2  1 X+1  2 X+3  1  1  1  X  1  0  1  0  1  1  1  1  1  X X+1 X+1  X  2 X+2  1  1  1 X+2 X+3  1 X+2 X+2  1  0  0  1 X+3  0  0  2  1
 0  0  X  0 X+2  0 X+2  2  X  X  X  2 X+2  X X+2  2  X X+2  X  0  0  2  2 X+2  X  0  2 X+2  2  2  X X+2 X+2 X+2  0  0 X+2 X+2  0  0  X X+2  2  0  2  0  X  0 X+2  2  0  0  2  0  X  2  0 X+2  0 X+2  0  X  2  0  X
 0  0  0  2  0  0  0  2  2  0  2  0  0  0  2  0  0  0  2  0  0  2  2  2  0  2  0  2  2  2  0  2  2  2  2  0  0  0  2  2  2  0  0  2  0  0  0  2  0  2  0  0  0  2  0  2  0  2  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  2  0  2  2  0  2  0  2  0  0  0  2  2  0  2  0  0  2  2  0  2  0  0  2  2  2  0  2  2  0  2  0  2  2  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  2  0  2  2  2  0  2  2  2  2  0  0  2  2  0  2  2  2  2  2  2  2  2  0  2  2  2  0  0  2  2
 0  0  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  0  2  0  2  0  0  2  0  0  2  2  0  0  2  2  2  2  2  2  0  0  2  2  2  2  0  0  0  0  0  0  0  0  0  2  2  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+142x^58+128x^59+269x^60+276x^61+345x^62+392x^63+336x^64+460x^65+313x^66+400x^67+247x^68+268x^69+216x^70+104x^71+84x^72+20x^73+52x^74+18x^76+13x^78+3x^80+5x^82+1x^84+2x^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 1.24 seconds.