The generator matrix

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

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+66x^50+28x^51+261x^52+60x^53+407x^54+204x^55+552x^56+236x^57+567x^58+212x^59+511x^60+180x^61+404x^62+68x^63+185x^64+36x^65+84x^66+16x^68+3x^70+4x^72+3x^74+3x^76+2x^78+2x^80+1x^84

The gray image is a code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 0.856 seconds.