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  X  X  2  0  2  X  X  X  1  X  2  0  2  1  1  0  1  X  1  2  0  X  1  1
 0  X  0  X  0  0  X X+2  0  2  X  0 X+2  2 X+2 X+2  0  2  0 X+2 X+2  0  X X+2  0  X  2  X  0  X  X  2 X+2 X+2 X+2  X  X  X  2  0  X  2  X  2  X  2  0  2 X+2
 0  0  X  X  0 X+2  X  0  0  X  X  2  2 X+2  X  0  2  X  X  0 X+2  2  2 X+2 X+2 X+2  X  X  X  X X+2  X  0 X+2  2 X+2  0  X  X  2  0  2  X  X  X  X X+2  2 X+2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  2  2  0  2  0  2  2  2  0  2  0  2  0  0  2  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  0  0  0  2  0  2  0  2  2  0  2  2  2  0  2  0  0  2  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  0  0  2  2  2  0  2  2  0  0  0  0  0  0  2  2  0  0  0  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  2  2  0  2  2  2  0  2  2  2  2  0  2  0  0  0  0  2  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  2  2  0  0  0  2  2  0  2  2
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  0  2  0  0  0  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+198x^40+8x^41+280x^42+96x^43+641x^44+224x^45+846x^46+416x^47+1136x^48+560x^49+1104x^50+416x^51+924x^52+224x^53+476x^54+96x^55+347x^56+8x^57+104x^58+65x^60+6x^62+13x^64+2x^68+1x^72

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 4.48 seconds.