The generator matrix

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

generates a code of length 47 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+52x^42+260x^43+176x^44+844x^45+244x^46+1102x^47+228x^48+700x^49+109x^50+234x^51+68x^52+54x^53+6x^54+2x^55+5x^56+1x^58+2x^59+2x^60+2x^61+4x^62

The gray image is a code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 0.218 seconds.