The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+68x^41+107x^42+252x^43+358x^44+512x^45+667x^46+780x^47+939x^48+936x^49+919x^50+774x^51+656x^52+450x^53+332x^54+210x^55+76x^56+66x^57+19x^58+30x^59+16x^60+14x^61+1x^62+2x^63+2x^65+3x^66+2x^68

The gray image is a code over GF(2) with n=196, k=13 and d=82.
This code was found by Heurico 1.16 in 16.9 seconds.