The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^49+438x^50+1572x^51+3942x^52+7362x^53+12895x^54+20466x^55+29412x^56+34574x^57+39089x^58+36612x^59+29670x^60+20420x^61+13143x^62+6748x^63+3325x^64+1382x^65+605x^66+288x^67+76x^68+32x^69+6x^70+10x^71+6x^72+2x^77

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 475 seconds.