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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+216x^50+12x^51+450x^52+88x^53+575x^54+216x^55+832x^56+428x^57+1046x^58+568x^59+1047x^60+420x^61+823x^62+216x^63+524x^64+84x^65+315x^66+12x^67+186x^68+4x^69+84x^70+31x^72+11x^74+2x^78+1x^84

The gray image is a code over GF(2) with n=236, k=13 and d=100.
This code was found by Heurico 1.16 in 19.2 seconds.