The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  X  0  1  1  1  1  X  0  X  1  1  0  1  1  1  0  1  1  1  1  1  X  X  2  1  1  X
 0  X  0 X+2  0 X+2  0 X+2  0 X+2  2  0 X+2 X+2  X  0  2  0  2  0 X+2  X X+2  X X+2  X X+2 X+2 X+2  X X+2  0  2  X  2  0 X+2  X  X  X  2 X+2 X+2 X+2 X+2  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  0  2  0  2  2  0  0  2  2  0  2  0  2  0  0  0  2  0  0  2  2  0  0  0  2  2  2  0  0  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  0  0  0  0  0  0  2  2  0  0  2  2  0  0  2  2  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  0  2  0  2  2  0  0  0  2  2  0  2  2  0  0  2  2  0  2  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  2  2  2  0  0  0  2  0  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  2  2  0  2  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  2  2  0  0  2  0  0  0  2
 0  0  0  0  0  0  0  2  0  2  0  0  2  0  2  2  2  0  2  2  2  0  2  0  2  2  0  0  0  0  2  2  2  0  2  0  2  2  2  2  0  2  0  0  0  2  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  2  2  0  2  0  0  2  2  2  2  0  0  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+104x^40+90x^42+16x^43+358x^44+96x^45+384x^46+240x^47+668x^48+320x^49+532x^50+240x^51+446x^52+96x^53+240x^54+16x^55+154x^56+34x^58+42x^60+15x^64+2x^68+2x^72

The gray image is a code over GF(2) with n=196, k=12 and d=80.
This code was found by Heurico 1.16 in 1.01 seconds.