The generator matrix

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

generates a code of length 61 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+638x^54+1748x^55+4642x^56+6916x^57+11333x^58+12850x^59+18393x^60+17146x^61+19457x^62+13874x^63+11274x^64+5862x^65+3962x^66+1804x^67+815x^68+182x^69+121x^70+24x^71+11x^72+6x^73+8x^74+2x^75+2x^79+1x^82

The gray image is a code over GF(2) with n=488, k=17 and d=216.
This code was found by Heurico 1.16 in 130 seconds.