The generator matrix

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

generates a code of length 66 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+9x^60+164x^61+232x^62+444x^63+360x^64+648x^65+390x^66+744x^67+308x^68+420x^69+196x^70+92x^71+22x^72+48x^73+8x^74+1x^76+4x^78+2x^82+2x^92+1x^96

The gray image is a code over GF(2) with n=528, k=12 and d=240.
This code was found by Heurico 1.16 in 0.375 seconds.