The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^50+84x^51+453x^52+304x^53+625x^54+468x^55+930x^56+608x^57+950x^58+732x^59+863x^60+560x^61+560x^62+252x^63+356x^64+64x^65+109x^66+75x^68+31x^70+8x^72+6x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=232, k=13 and d=100.
This code was found by Heurico 1.16 in 3.82 seconds.