The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+94x^40+24x^41+156x^42+112x^43+504x^44+320x^45+684x^46+656x^47+1173x^48+848x^49+1060x^50+656x^51+769x^52+320x^53+388x^54+112x^55+220x^56+24x^57+16x^58+30x^60+16x^64+9x^68

The gray image is a code over GF(2) with n=196, k=13 and d=80.
This code was found by Heurico 1.16 in 2.86 seconds.