The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+57x^60+156x^61+361x^62+240x^63+483x^64+308x^65+530x^66+254x^67+364x^68+228x^69+300x^70+148x^71+256x^72+120x^73+128x^74+56x^75+47x^76+16x^77+23x^78+4x^79+8x^80+4x^81+2x^82+2x^83

The gray image is a code over GF(2) with n=268, k=12 and d=120.
This code was found by Heurico 1.16 in 0.832 seconds.