The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  2  X  1  1 X+2  1  0  1  1  1  1  1  1  1  X  X  1 X+2  1  1  0  1  0  1  0  X  1  1  2  1  1  1
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1 X+2  1  1  X  1  3  0 X+2 X+2  1  3  0  1  1  3  1 X+3  2  1  2  1  0  1 X+2 X+2  3  1  0  0 X+1
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2 X+2  X  2  X  2  X  0  0  0  0  0  X  0  2 X+2 X+2  2  0 X+2  X  2  X  2  0  0  X X+2  X  X  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  0  2  2  0  2  2  2  2  2  0  0  2  0  0  0  0  2  0  2  2  0  0  2  2  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  2  2  0  0  2  2  2  2  2  2  2  0  0  0  0  2  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  0  2  0  0  2  0  0  0  2  0  2  2  0  0  2  2  2  0  2  2  0  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  0  0  0  2  0  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  0  2  2  2  2  2  0  0  2  0  2  2  2  0  2  2  2  2  2  0  0  0  2  0  0  0  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  2  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+208x^40+478x^42+1339x^44+2320x^46+3920x^48+3720x^50+2453x^52+1292x^54+436x^56+122x^58+73x^60+4x^62+11x^64+7x^68

The gray image is a code over GF(2) with n=196, k=14 and d=80.
This code was found by Heurico 1.16 in 9.84 seconds.