The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^49+100x^50+186x^51+320x^52+378x^53+549x^54+590x^55+729x^56+876x^57+808x^58+888x^59+697x^60+616x^61+469x^62+328x^63+258x^64+140x^65+96x^66+46x^67+30x^68+14x^69+19x^70+10x^71+11x^72+4x^74+1x^76+3x^78+1x^80

The gray image is a code over GF(2) with n=232, k=13 and d=98.
This code was found by Heurico 1.16 in 3.39 seconds.