The generator matrix

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

generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+176x^59+245x^60+474x^61+280x^62+514x^63+328x^64+464x^65+241x^66+396x^67+195x^68+218x^69+120x^70+190x^71+87x^72+80x^73+23x^74+32x^75+6x^76+8x^77+7x^78+4x^79+4x^81+2x^84+1x^86

The gray image is a code over GF(2) with n=260, k=12 and d=118.
This code was found by Heurico 1.16 in 11.5 seconds.