The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1 X+2  X  1  1  1  X  1  1  X  1  X  0 X+2  1  1  1  1  X  2  1  2  1  1  1  1  X  1 X+2  1 X+2  1  1  1  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1 X+3  1  1  1 X+2  0  X X+3  0  1 X+1 X+2  2  1  0 X+2  3 X+2  1  1  X  X X+2  X X+2  3  1  X  0  1  1 X+3  X  X X+2
 0  0  1  1  1  0  1  3  1  1  1  0  2  X  1  X  1  2 X+1  2  1 X+1  X X+2  2  1  1 X+3 X+2 X+1  1 X+3  3  0  1  1  0 X+2 X+1 X+1  0 X+2  1 X+3 X+3  0 X+2 X+1 X+2
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X X+2 X+2  X  2  X  X X+2 X+2  2  2  0  2  2  0 X+2  2  2  0  0  2  X  2  2  X  X X+2 X+2  X  2  2  2 X+2  X X+2  2  X
 0  0  0  0  X  2  X X+2  2  2 X+2  X  X X+2 X+2  0  2  2 X+2  2  2  0  X X+2 X+2  0 X+2 X+2  0  2  2  2 X+2 X+2  2  0  0  2 X+2  0  2  X  2  X  2  X  X X+2  2

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+106x^42+224x^43+482x^44+544x^45+768x^46+852x^47+768x^48+908x^49+798x^50+796x^51+567x^52+536x^53+362x^54+204x^55+167x^56+28x^57+40x^58+4x^59+27x^60+6x^62+4x^64

The gray image is a code over GF(2) with n=196, k=13 and d=84.
This code was found by Heurico 1.16 in 2.42 seconds.