The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+127x^62+135x^64+128x^66+112x^68+8x^72+1x^126

The gray image is a code over GF(2) with n=260, k=9 and d=124.
This code was found by Heurico 1.16 in 0.129 seconds.