The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+76x^59+246x^60+244x^61+640x^62+444x^63+820x^64+576x^65+919x^66+546x^67+953x^68+478x^69+724x^70+358x^71+449x^72+192x^73+246x^74+98x^75+70x^76+36x^77+28x^78+14x^79+17x^80+8x^81+3x^82+3x^84+2x^85+1x^88

The gray image is a code over GF(2) with n=268, k=13 and d=118.
This code was found by Heurico 1.16 in 3.3 seconds.