The generator matrix

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

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+140x^59+370x^60+312x^61+428x^62+428x^63+364x^64+352x^65+395x^66+266x^67+243x^68+234x^69+209x^70+72x^71+92x^72+76x^73+41x^74+22x^75+25x^76+18x^77+7x^78+1x^80

The gray image is a code over GF(2) with n=260, k=12 and d=118.
This code was found by Heurico 1.11 in 0.361 seconds.