The generator matrix

 1  0  0  1  1  1 X+2  1  X  1  1  0  1 X+2  1  1  1  1  1 X+2  X  1  1  2  1  2  0  X  1  2  X  1  1  1  2  1  2  X  1  1  1  0 X+2  0  X  0  1  2  1
 0  1  0  0  1 X+1  1  3  X X+1  X  1  X  1 X+3  1  2  0  X  1  1 X+2 X+1  1  3  0  X  1 X+2  1  1  0  1 X+2  1 X+2  1  1  2 X+2 X+3 X+2  1 X+2  1  1  1  1  X
 0  0  1  1 X+1  0  1  1  1 X+2  X  3 X+3  0  1  0 X+1  2  0  X  1 X+3 X+2 X+1 X+3  1  1  2  3  1  0  X  2 X+2 X+3 X+2 X+2  0  X  1  2  1  X  1  0  2 X+3  0  3
 0  0  0  X  X  2  X X+2  0  2  2  X  X  2  0 X+2  0  X  X X+2  0  2  X  2  0 X+2  X  X  X  0 X+2  2  2 X+2  0 X+2  2  X  2  0 X+2 X+2  2  0  2 X+2  0  X  2
 0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  0  2  2  2  0  0  0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  0  0  0  0  0  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+74x^43+259x^44+352x^45+401x^46+424x^47+432x^48+470x^49+364x^50+362x^51+297x^52+180x^53+211x^54+140x^55+56x^56+32x^57+14x^58+8x^59+10x^60+4x^61+2x^62+1x^64+2x^65

The gray image is a code over GF(2) with n=196, k=12 and d=86.
This code was found by Heurico 1.16 in 0.545 seconds.