The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  0  1  1  1 X+2  1  1 X+2  1  1  1  X  1  0  1  0  1  1  2  1  1  1  1  X  1 X+2  X  1  1  1  1  0  1  1  0  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  1 X+1 X+2  3  1  0  3  1 X+2  0  3  1 X+1  1 X+1  1 X+2 X+3  1  2  X  3  2  0  2  1  0  2  2  0 X+2  X X+1  3  1  0
 0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  2  2  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  0  0  2  0  0  0  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  2  0  0  2  0  0  2  2  0  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  2  0  0  2  0  0  2  0  2  2  2  2  0  0  0  0  0  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  0  2  0  2  2  2  2  0  2  2  0  2  0  2  2  2  0  0  2  2  0
 0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  2  0  0  2  0  0  0  2  0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  2  2  0  0  0  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+13x^42+72x^43+134x^44+114x^45+196x^46+140x^47+325x^48+142x^49+270x^50+120x^51+215x^52+110x^53+90x^54+44x^55+16x^56+18x^57+3x^58+8x^59+10x^60+2x^62+2x^64+2x^66+1x^68

The gray image is a code over GF(2) with n=196, k=11 and d=84.
This code was found by Heurico 1.16 in 0.196 seconds.