The generator matrix

 1  0  0  1  1  1  X X+2  1  1  1  2  1  0  2  1  1  2  1  1  1  2  1  1  2  X  0  1  1  X  1  2  X X+2  1  1  1  1  0  1  1  X  X  1  1  1  1  1  2
 0  1  0  0  1 X+3  1  0  2  0 X+3  1 X+1  1  2 X+2 X+3  1  3 X+2  0  1  0 X+1  1  1  1 X+1  3  1 X+3  0  1  1 X+2 X+2  1  2 X+2  2  X  1  0 X+1  0 X+1 X+1 X+2  X
 0  0  1  1  1  0  1  1  X X+3 X+1  1  X  0  1  3  2 X+3 X+1  0  3  X  2 X+1  X  1  1  0 X+2  X  1  1 X+3 X+2  1  0  X X+1  1 X+2 X+2  1  1 X+1  3 X+1  X  1  0
 0  0  0  X  0  0  0  2  2 X+2  2  2  0 X+2 X+2  0  X X+2  X  X  2  0  X X+2  X  2 X+2  2  0  X X+2 X+2  0  0  0  0 X+2  X  X  X  2  X  0  0  2  0 X+2 X+2  X
 0  0  0  0  X X+2  2  2  2  2 X+2  2  X  X  X X+2  2 X+2  X X+2 X+2  2  X  2  0  X  0  0  0  2 X+2  2  X  X  0  0  X  X  2  2  X  X  X  2  2  0  X  2  2
 0  0  0  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  0  0  0  0  2  2  0  2  2  0  2  0  0  2  2  2  2  2  2  0  2  0  0  2  0  0  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+146x^41+270x^42+576x^43+808x^44+988x^45+1296x^46+1386x^47+1815x^48+1852x^49+1652x^50+1680x^51+1340x^52+956x^53+674x^54+436x^55+236x^56+106x^57+66x^58+48x^59+24x^60+16x^61+10x^62+2x^63

The gray image is a code over GF(2) with n=196, k=14 and d=82.
This code was found by Heurico 1.16 in 8.44 seconds.