The generator matrix

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

generates a code of length 66 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+96x^61+604x^62+948x^63+1181x^64+958x^65+1258x^66+890x^67+767x^68+472x^69+450x^70+252x^71+145x^72+74x^73+54x^74+22x^75+17x^76+2x^78+1x^80

The gray image is a code over GF(2) with n=528, k=13 and d=244.
This code was found by Heurico 1.16 in 0.75 seconds.