The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+169x^40+1090x^41+2976x^42+5850x^43+9636x^44+15008x^45+19368x^46+22538x^47+19622x^48+15438x^49+9981x^50+5522x^51+2314x^52+980x^53+396x^54+118x^55+34x^56+12x^57+13x^58+4x^59+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.