The generator matrix

 1  0  0  0  1  1  1  1  2  1  X  1 X+2  1  2  X  X  2  1  0  1  1  1  1  1  1 X+2  1  X  1  X X+2  2  X  1  1  0 X+2  1  1  X  0  1  0  X  1  0  1  1
 0  1  0  0  0  1  2  3  1 X+2  0 X+1  1  1  1  1  1  2  0  0 X+3  X X+2 X+2 X+3  X  2  1  1  0  1  1  1  X X+1  X  X  X  X  X  1 X+2 X+1  X  1  X  1  2  0
 0  0  1  0  0  1  3  2  3  1  1  3  X X+2  1  X  2  1 X+3  1  X  0 X+3  3  0  0  1 X+1 X+3 X+3  X  3 X+1  X  2  X  1  1 X+1  2  X X+2  0  2  3  1 X+2  2  2
 0  0  0  1  1  2  1  3  3  0 X+3  3 X+3 X+2  X  1  0  X  3  1  0 X+2 X+1  X X+3  3 X+3  X X+1  2 X+3 X+2  3  1  2 X+3  X  1  1  0  1  1 X+2  1 X+2 X+1 X+1  1  2
 0  0  0  0  X  0  0  0  0 X+2  X  X  X X+2 X+2  X  2  2  2 X+2  2 X+2 X+2  2  X  2  0  X  X X+2  2 X+2  0  0  X  2  X  0  0 X+2  2 X+2  2  0  X X+2 X+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+54x^41+258x^42+616x^43+805x^44+1138x^45+1247x^46+1596x^47+1496x^48+1990x^49+1646x^50+1544x^51+1246x^52+1134x^53+671x^54+452x^55+243x^56+142x^57+46x^58+32x^59+11x^60+4x^61+4x^62+6x^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 1.13 in 3.05 seconds.