The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  X  1
 0  X  0 X^2+X X^2 X^2+X+2 X^2+2  X X^2 X^2+X  2 X+2  0 X^2+X X^2  X  0 X^2+X X^2  X  2 X^2+X+2 X^2+2 X+2  2 X^2+X+2 X^2  X X^2  X  2 X^2+X+2  2 X^2+X+2  2 X^2+X+2 X^2+2 X+2 X^2  X X^2+2 X+2  2 X^2+X+2  0 X^2+X  2 X^2+X+2 X^2 X+2  X X^2+2  2 X^2+X+2  2 X^2  2  0 X^2+X+2  X X+2 X^2+X  X X^2+2 X^2  0
 0  0 X^2+2  0 X^2 X^2  0 X^2 X^2+2  0 X^2  0  0 X^2+2  0 X^2+2  2  2 X^2 X^2 X^2 X^2  2  2  2  2  2  2 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2+2  2  2 X^2 X^2 X^2 X^2  0  0 X^2+2 X^2+2  2  0  0  0 X^2+2 X^2+2 X^2+2 X^2+2  0  2  0  2 X^2+2 X^2 X^2+2  2  0 X^2  0  0  2  0
 0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  2  2  2  2  2  0  0  0  0  0  2  2  0  2  0  0  2  0  2  0  0  0  0  2  0  0  2  2  2  2  0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  2  2  2  0  0  2
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  2  2  0  0  2  0  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  2  0  0  2  0  0  2  0  2  0  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+156x^62+206x^64+768x^65+120x^66+512x^67+48x^68+124x^70+96x^72+16x^74+1x^128

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 0.438 seconds.