The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1  1 X+2  1  1 X+2  1  1  0  2  1  1  1  1  1 X+2  1  1  1  1 X+2  1  X  0  1  1  1  1  1  1  1  1  1  1  X  1  1  1  0  1  1  1  1  1  1  0  1  2  0  X  0  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0 X+1  3  1 X+2  3  1  0 X+1  1  1  X X+3  0 X+2 X+2  1  3  0 X+1  2  1 X+2  1  1  0  2 X+2  X  2 X+2  3 X+2  2 X+1  1  0  X  X  1  X  0  2  2  0 X+3  1  0  1  1 X+2  X X+1 X+2
 0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  2  2  2  0  0  2  0  0  0  2  0  2  2  0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  2  0  2
 0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2  0  0  2  2  2  2  2  2  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  2
 0  0  0  0  2  0  0  0  2  0  2  0  2  0  0  2  0  0  2  2  0  0  2  0  0  0  0  2  2  2  0  2  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  2  2  2  2  0  2  2  2  0  0  0  0  0  2  2  0  0  2  2
 0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  2  2  2  2  0  0  0  2  0  0  0  0  2  2  0  0  0  2  2  2  0  0  2  2  0  0  0  0  0  2  0  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  2  2  0  2  0  0  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+40x^60+36x^61+212x^62+78x^63+281x^64+104x^65+265x^66+110x^67+229x^68+72x^69+252x^70+58x^71+210x^72+40x^73+26x^74+10x^75+2x^76+4x^77+5x^78+4x^80+5x^82+2x^86+1x^94+1x^100

The gray image is a code over GF(2) with n=268, k=11 and d=120.
This code was found by Heurico 1.16 in 0.362 seconds.