The generator matrix

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

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+98x^50+424x^51+822x^52+1322x^53+1730x^54+2114x^55+2479x^56+2602x^57+3030x^58+3310x^59+3178x^60+2942x^61+2540x^62+2130x^63+1621x^64+1030x^65+618x^66+386x^67+206x^68+96x^69+42x^70+20x^71+11x^72+8x^73+6x^74+2x^76

The gray image is a code over GF(2) with n=236, k=15 and d=100.
This code was found by Heurico 1.13 in 13.9 seconds.