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  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  1  1  X  1  X  1  1  X  1  X  1  X  1  1  2  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  0  2  0  2  2  0  2  2  2  2  0  0  2  2  2  0  0  0  0  0
 0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  2  2  2  0  2  0  0  0  0  2  2  2  0  0  2  0  2  0  2  2  2  2  2  0  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  2  2  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  0  0  2  2  2  2  2  0  0  0  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  0  0  2  2  0  2  2  2  0  2  0  2  0  0  0  2  0  0  2  2  2
 0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  0  2  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  2  0  2  0  0  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  0  2  2  0  0  0  2  0  0  0  2  0  0  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+20x^50+56x^52+64x^54+81x^56+256x^57+105x^58+256x^59+73x^60+41x^62+25x^64+18x^66+13x^68+6x^70+5x^72+1x^74+1x^76+1x^78+1x^100

The gray image is a code over GF(2) with n=232, k=10 and d=100.
This code was found by Heurico 1.16 in 0.169 seconds.