The generator matrix

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

generates a code of length 58 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+76x^49+438x^50+1802x^51+3427x^52+7868x^53+12488x^54+21402x^55+27471x^56+36302x^57+37857x^58+37954x^59+28614x^60+21576x^61+11778x^62+7312x^63+3250x^64+1662x^65+567x^66+202x^67+49x^68+16x^69+8x^70+14x^71+4x^72+4x^73+2x^75

The gray image is a code over GF(2) with n=464, k=18 and d=196.
This code was found by Heurico 1.16 in 478 seconds.