The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  0  1  1  1  1  0  X  1  0  1  0  1  1  1  X  X  1  1  0  1  1  1  X  1  1  X  X  X  0  2  0
 0  X  0  X  0  0  X X+2  0  2 X+2  X  0  X  X  0  2  2 X+2  X  0  0  X  2  2  2  0  2  X  2 X+2 X+2  X X+2  2  0 X+2  2  0  2  X X+2  0  X X+2  0 X+2  0 X+2  2 X+2  X  X X+2 X+2  X  X  2
 0  0  X  X  0 X+2  X  0  2  X  0  X  0 X+2  2 X+2  X  X  2  0  2  0 X+2  2  2  X  X  X  2  X  2 X+2  0  2 X+2  X  2  X  0  0  X  0 X+2  2  2  X  0  2  2  X  X  2 X+2  0  0  0  X  X
 0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  0  2  2  2  0  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  0  0  0  0  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  0  0  2  2  0  2  0  0  2  2  2  0  2  2  2  0  2  0  2  0  2  2  0  0  0  2  0  2  2  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  2  2  0  2  0  2  0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  0  2  2  0  0  2  0  2  0  2
 0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  2  0  2  2  0  0  0  2  0  2  2  0  2  0  0  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  2  2  0  2  0  2  2  0  0  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+28x^49+84x^50+130x^51+171x^52+220x^53+210x^54+270x^55+389x^56+372x^57+399x^58+410x^59+339x^60+300x^61+249x^62+160x^63+89x^64+80x^65+63x^66+50x^67+25x^68+24x^69+12x^70+2x^71+9x^72+5x^74+2x^75+1x^76+1x^78+1x^82

The gray image is a code over GF(2) with n=232, k=12 and d=98.
This code was found by Heurico 1.16 in 1.2 seconds.