The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  1  1 X+2 X+2  1  1  1 X+2  1  1  0  1  1  X  1  2  1  0 X+2  1  X  1  1  X  1  1  2  2  1  2  1  1  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1 X+2  1  X  0  1  2 X+3  X  X  1  1  1 X+3  2  1  0  1 X+2 X+2  1 X+1  0  0  X  1 X+2  X  1  X X+1  1  3  1  2
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X  2 X+2 X+1  1 X+3  1  1  X  1  3 X+3  X X+2  2  1 X+2  0  0  1  X X+1  1  X  X X+1  X  3 X+1  1 X+3  1 X+3 X+2 X+2
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  0  2  0  2  0  2  2  0  2  2  2  2  0  0  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  0  0  2  2  0  2  0  0  2  0  0  2  0  0  0  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+74x^44+204x^45+272x^46+278x^47+212x^48+176x^49+175x^50+174x^51+169x^52+112x^53+62x^54+50x^55+48x^56+16x^57+3x^58+10x^59+7x^60+4x^61+1x^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 0.161 seconds.