The generator matrix

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

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+362x^42+432x^43+1129x^44+772x^45+1646x^46+1216x^47+2000x^48+1340x^49+2071x^50+1240x^51+1625x^52+732x^53+967x^54+304x^55+335x^56+100x^57+67x^58+8x^59+26x^60+7x^62+4x^64

The gray image is a code over GF(2) with n=196, k=14 and d=84.
This code was found by Heurico 1.16 in 41 seconds.