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

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+46x^49+117x^50+148x^51+204x^52+286x^53+323x^54+468x^55+598x^56+688x^57+846x^58+840x^59+836x^60+720x^61+565x^62+448x^63+293x^64+250x^65+141x^66+116x^67+102x^68+50x^69+43x^70+28x^71+12x^72+8x^73+7x^74+2x^76+5x^78+1x^90

The gray image is a code over GF(2) with n=236, k=13 and d=98.
This code was found by Heurico 1.16 in 5.29 seconds.