The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 2X  0  0  0  0  0  0  0 2X  0 2X 2X  0 2X  0  0 2X 2X  0  0 2X 2X  0  0 2X  0 2X 2X 2X  0  0  0 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X
 0  0 2X  0  0  0  0  0  0 2X 2X 2X  0  0 2X 2X 2X  0  0  0  0 2X 2X 2X  0  0 2X 2X  0  0  0 2X 2X 2X 2X  0  0  0 2X  0 2X 2X 2X  0 2X  0 2X
 0  0  0 2X  0  0  0  0  0 2X 2X  0 2X 2X 2X 2X  0 2X  0  0 2X  0 2X 2X 2X  0 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0  0 2X
 0  0  0  0 2X  0  0  0 2X  0 2X 2X 2X 2X 2X  0  0  0  0 2X  0  0 2X  0 2X 2X  0  0 2X 2X 2X 2X  0  0 2X  0 2X 2X 2X  0  0 2X 2X 2X 2X 2X  0
 0  0  0  0  0 2X  0 2X 2X  0 2X  0 2X  0 2X  0  0 2X 2X 2X 2X  0  0 2X  0 2X  0 2X 2X  0  0  0 2X  0 2X  0 2X 2X  0  0 2X  0 2X  0  0 2X 2X
 0  0  0  0  0  0 2X 2X  0  0 2X 2X 2X  0  0  0 2X  0 2X 2X  0  0 2X 2X 2X  0 2X  0  0  0 2X 2X  0 2X  0 2X 2X  0 2X 2X  0  0 2X  0  0 2X 2X

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

Homogenous weight enumerator: w(x)=1x^0+22x^42+26x^44+15x^46+896x^47+15x^48+26x^50+22x^52+1x^94

The gray image is a code over GF(2) with n=376, k=10 and d=168.
This code was found by Heurico 1.16 in 0.094 seconds.