The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+100x^48+64x^49+80x^50+8x^52+3x^64

The gray image is a code over GF(2) with n=196, k=8 and d=96.
This code was found by Heurico 1.16 in 0.0413 seconds.