The generator matrix

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

generates a code of length 47 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+243x^40+1116x^41+3312x^42+6218x^43+9457x^44+15318x^45+18008x^46+22600x^47+19246x^48+16068x^49+9574x^50+5530x^51+2705x^52+1042x^53+358x^54+180x^55+58x^56+20x^57+10x^58+2x^60+4x^61+2x^62

The gray image is a code over GF(2) with n=376, k=17 and d=160.
This code was found by Heurico 1.16 in 94.8 seconds.