The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  2  1 X+2  1  1  1  0  1  1  1  1 X+2  1  1  X  X  1  1  1  1  1  1  X  1 X+2  1  1  X  2  X  1  1  1  1  X  1  0
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  1  0  1  3 X+1  2  1 X+2 X+1  X  3  1 X+2  X  1  1  0  3  2  1  1  0  1 X+3  1 X+3  1 X+2  1  1  1  2  1  2  0 X+2  X
 0  0  X  0  0  0  0  0  0  2  2 X+2  X  X  X  2 X+2  X  X X+2  0 X+2 X+2  0  2 X+2  2 X+2  0  0  2  0  2  2  0  2  0  X X+2  X  X  X X+2  X  2 X+2  2 X+2  2
 0  0  0  X  0  0  X  2  X  2 X+2  2 X+2  2  0 X+2  X  X  2  2  X  X  X  2  2  X  0 X+2  X  2 X+2  2  X  0  2  X  0 X+2  2  0 X+2 X+2  0  0  0  X  2 X+2  0
 0  0  0  0  X  0  0 X+2  2  0  2  2 X+2  X  X  X  0 X+2 X+2 X+2 X+2 X+2  2  0  0 X+2  X  0 X+2  0 X+2  2  0 X+2 X+2  2  X X+2  X  0 X+2 X+2  2  0  2  2 X+2 X+2  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  0  0  0  2  0  0  2  2  2  0  0  2  2  2  0  0  0  0  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  0  0  2  2  2  2  2  0  0  0  2  0  0  2  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  2  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+168x^40+28x^41+456x^42+260x^43+928x^44+708x^45+1545x^46+1296x^47+1993x^48+1564x^49+2124x^50+1272x^51+1592x^52+748x^53+830x^54+240x^55+362x^56+24x^57+148x^58+4x^59+64x^60+17x^62+12x^64

The gray image is a code over GF(2) with n=196, k=14 and d=80.
This code was found by Heurico 1.16 in 9.84 seconds.