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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+4x^43+329x^44+100x^45+248x^47+317x^48+328x^49+244x^51+208x^52+84x^53+16x^55+122x^56+46x^60+1x^76

The gray image is a code over GF(2) with n=196, k=11 and d=86.
This code was found by Heurico 1.16 in 26.9 seconds.