The generator matrix

 1  0  0  1  1  1  2  1  1 X+2  1  0  1  2  0  X  1  1 X+2  1  1  X  1  1 X+2  1 X+2  1  1  2  X  1 X+2  1  1  0  0 X+2  1  1  X  1  1  1  1  1  2  X X+2  2  1  0  1  1  1  1  2  1  1  2 X+2  X  1  1  1
 0  1  0  2  3  1  1  0  2  0  3  1  1  1 X+2  X  X X+3  1 X+1 X+2  1 X+1  X  1  X  1 X+1  1  1  1  3 X+2 X+1  0  X  1  1  2  X  0 X+3  X  1  0 X+3  2 X+2  1  1 X+2  1 X+3  2  0  2  X X+3  3  1  1  1 X+2  2  X
 0  0  1 X+3 X+1  2 X+1 X+2  1  1  3 X+2  X  3  1  1  X  1  X  0  3 X+3 X+2  0  3 X+1  2 X+1 X+2 X+3  0 X+3  1  1 X+3  1  2 X+1  3  1  1  X  2  0  X  2  1  1 X+2  X X+2  3 X+3  2  2  X  1 X+2  0  0  0  X  2 X+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+73x^62+84x^63+122x^64+60x^65+58x^66+20x^67+34x^68+20x^69+15x^70+8x^71+13x^74+2x^76+1x^80+1x^82

The gray image is a code over GF(2) with n=260, k=9 and d=124.
This code was found by Heurico 1.13 in 0.078 seconds.