The generator matrix

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

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+61x^44+188x^45+286x^46+264x^47+259x^48+266x^49+134x^50+112x^51+136x^52+90x^53+74x^54+72x^55+52x^56+30x^57+18x^58+3x^60+2x^61

The gray image is a code over GF(2) with n=196, k=11 and d=88.
This code was found by Heurico 1.11 in 0.0914 seconds.