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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+108x^36+268x^40+36x^42+507x^44+336x^46+893x^48+4096x^49+504x^50+727x^52+144x^54+356x^56+4x^58+153x^60+49x^64+9x^68+1x^80

The gray image is a code over GF(2) with n=196, k=13 and d=72.
This code was found by Heurico 1.16 in 4.67 seconds.