The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+60x^44+232x^45+227x^46+304x^47+215x^48+216x^49+142x^50+176x^51+157x^52+124x^53+49x^54+70x^55+24x^56+20x^57+12x^58+8x^59+5x^60+2x^62+2x^63+2x^64

The gray image is a code over GF(2) with n=196, k=11 and d=88.
This code was found by Heurico 1.16 in 0.159 seconds.