The generator matrix

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

generates a code of length 49 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+139x^42+1404x^43+2824x^44+6366x^45+9509x^46+15738x^47+18054x^48+22808x^49+18448x^50+16092x^51+9310x^52+6060x^53+2505x^54+1250x^55+367x^56+146x^57+23x^58+12x^59+4x^60+10x^61+2x^65

The gray image is a code over GF(2) with n=392, k=17 and d=168.
This code was found by Heurico 1.16 in 96 seconds.