The generator matrix

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

generates a code of length 58 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+199x^50+1502x^51+3865x^52+7546x^53+12924x^54+19504x^55+29150x^56+36282x^57+38322x^58+37580x^59+30278x^60+20586x^61+12634x^62+6750x^63+3057x^64+1062x^65+523x^66+192x^67+109x^68+60x^69+6x^70+2x^71+4x^72+6x^75

The gray image is a code over GF(2) with n=464, k=18 and d=200.
This code was found by Heurico 1.16 in 486 seconds.