The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  0  1  1  0  1  1  2  0  1  1  1  1  X  1 X+2  1  1  0  1  1  1  1  X X+2  0  1  0  1  1  1 X+2  1  1  1  X  2  1  1  1  1  2  X  1  X  1  1  X  1
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  2  1  3 X+1  2  1 X+1  X  1  0  1  1  1 X+2 X+3  3  0  1 X+1  1 X+1 X+1  1 X+3  X  3  3  1  1  1  X  1  X  X  3  1  3  3  X  1  1 X+3 X+1  2  0  1  1 X+1  1 X+1 X+1  1 X+3
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2 X+2  2  0  X X+2  X  0  X  0  2 X+2  X  X X+2  X  2 X+2  0  2  2  2 X+2 X+2  X  2  X  X X+2 X+2  0  X X+2  X  0  0 X+2  2  X  2  0  2 X+2 X+2  2  X  2  X  0  0 X+2  2  2  X
 0  0  0  X  0  0  2  2  2  2  0  2  2 X+2  X  X  X X+2 X+2  X  X X+2 X+2 X+2  X  2  2  X  X  0  2  0  X  X  2  X  0  0  0  0 X+2  2  X  0 X+2  X  2 X+2 X+2  X  0 X+2  2  0  X  0  2 X+2  X  X  X  X  0  2  0
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2  X  X  X  X  2  0  0 X+2  2 X+2  2  2 X+2  2  0  0 X+2 X+2  0  2  X  X X+2  2  0  X  2  X  X X+2  0  0 X+2  0  0  2  X  X  2  X  X X+2  0 X+2  2  0  X  2  0 X+2  X  X  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+118x^58+60x^59+354x^60+248x^61+482x^62+324x^63+406x^64+272x^65+372x^66+324x^67+396x^68+248x^69+254x^70+60x^71+79x^72+32x^74+37x^76+16x^78+5x^80+6x^82+1x^84+1x^96

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 0.933 seconds.