The generator matrix

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

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+124x^41+308x^42+440x^43+925x^44+940x^45+1365x^46+1346x^47+1971x^48+1494x^49+1990x^50+1410x^51+1610x^52+880x^53+748x^54+346x^55+210x^56+132x^57+62x^58+38x^59+17x^60+12x^61+7x^62+4x^63+2x^64+2x^65

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 86.6 seconds.