The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  0  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  1  0  1  1 X^2+X  1  1 X^2+2  1 X+2  1  1  1  1  1  1  1  1  1  0 X^2+X  2 X^2+X+2  1  1  1  1  1  1  1  1  1  1  1  1  2 X^2 X^2+X  1  1  1
 0  1 X+1 X^2+X X^2+1  1 X^2+X+3 X^2+2  1 X+2  3  1  0 X+1  1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X+1  1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  1  3 X^2+3 X+1  1 X^2+X+3  0 X^2+X X^2+2 X^2+X+2  1  1  1  1 X^2+1 X+3 X^2+X+1  3 X^2+1 X+1  3 X^2+X+3  2 X^2 X+2  X  X  1  1 X^2+3 X^2+1  0
 0  0  2  0  0  0  0  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  0  2
 0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  0  2  0  0  2  0  2  0  2  0  0  2  2  2  0  2  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  0  0  0  2  2  2  0  2  0  2  0  2  0  2  0  2  2  2
 0  0  0  0  2  0  2  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0  2  0  2  0  2  2  2  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  2  0  2  0  2  2  0  0  0  0  2  2  0  2  2  0  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+139x^62+180x^63+356x^64+184x^65+334x^66+256x^67+270x^68+136x^69+165x^70+12x^71+12x^72+1x^78+1x^88+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 0.219 seconds.