The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+82x^49+472x^50+940x^51+1659x^52+2192x^53+3284x^54+3564x^55+5129x^56+5244x^57+6674x^58+6374x^59+7067x^60+5692x^61+5345x^62+3732x^63+3274x^64+1998x^65+1287x^66+644x^67+510x^68+196x^69+85x^70+32x^71+24x^72+20x^73+3x^74+10x^75+2x^78

The gray image is a code over GF(2) with n=236, k=16 and d=98.
This code was found by Heurico 1.13 in 53.2 seconds.