The generator matrix

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

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+408x^62+259x^64+112x^66+16x^68+160x^70+40x^72+16x^74+8x^78+4x^80

The gray image is a code over GF(2) with n=260, k=10 and d=124.
This code was found by Heurico 1.16 in 82.2 seconds.