The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+56x^38+10x^39+116x^40+74x^41+182x^42+156x^43+393x^44+232x^45+886x^46+348x^47+1452x^48+396x^49+1464x^50+352x^51+891x^52+264x^53+358x^54+138x^55+164x^56+58x^57+94x^58+20x^59+39x^60+26x^62+11x^64+4x^66+5x^68+2x^70

The gray image is a code over GF(2) with n=196, k=13 and d=76.
This code was found by Heurico 1.16 in 4.1 seconds.