The generator matrix

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

generates a code of length 66 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+64x^62+262x^63+360x^64+270x^65+271x^66+242x^67+188x^68+226x^69+109x^70+22x^71+26x^72+2x^74+2x^79+1x^80+1x^82+1x^94

The gray image is a code over GF(2) with n=528, k=11 and d=248.
This code was found by Heurico 1.16 in 0.313 seconds.