The generator matrix

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

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+155x^40+4x^41+326x^42+68x^43+655x^44+204x^45+826x^46+436x^47+1187x^48+612x^49+1088x^50+460x^51+827x^52+196x^53+552x^54+60x^55+313x^56+8x^57+138x^58+53x^60+14x^62+8x^64+1x^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 3.82 seconds.