The generator matrix

 1  0  0  0  1  1  1  X  1 a^2*X  1  1  1  1  1  X  1  1  0  X  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1 a^2*X a*X  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  X  1 X+1  1 a*X  1 a^2*X+a X+a^2 a^2 a*X+1 a^2*X+1  1 X+a  a  1  1 a^2*X  1  1  1 X+a^2  0 a*X a^2*X+a^2 X+a^2  a  X a^2 a*X+1 a^2*X+1 a^2*X  0  1 a^2  0  1 a^2*X+a X+a  X a^2*X X+a  a  0
 0  0  1  0 a^2*X+1  1 a^2*X a^2*X+1 X+1 a^2*X+a a^2*X+a^2  X a^2*X+a^2 X+a a^2 a^2*X+a  0 a^2*X+a a*X  1 a^2 a*X+1  a X+a X+a a*X+1 a^2*X X+1 a*X+a X+1 X+a^2 X+1 a^2*X a^2*X+a^2 a*X+a  1 a*X+a^2  0 a^2*X+a^2 a^2  1 a*X+a a*X+a^2 a*X+a^2 a^2 a*X+1  a
 0  0  0  1 a^2  X a*X+a^2 a*X+a^2  a a^2*X X+a a^2*X+a^2 a^2*X+1 a*X+1 a*X+a^2 a^2*X+a X+1 a*X a*X+1 a*X+a a^2*X+a^2  1  1 a^2*X+a^2 a*X+a^2 a*X+1  1 X+1 X+a X+a a^2*X+a a*X+a^2  0  0  1 a^2*X+1  1 a^2*X X+1  a a*X+1 a^2 a*X a^2*X+1 a*X X+a^2 a^2*X+a^2

generates a code of length 47 over F4[X]/(X^2) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+492x^127+495x^128+648x^129+936x^130+2088x^131+1818x^132+1440x^133+1920x^134+3636x^135+2619x^136+2136x^137+2532x^138+5364x^139+3939x^140+3372x^141+2700x^142+6408x^143+3975x^144+2724x^145+2556x^146+4740x^147+2787x^148+1668x^149+1380x^150+1704x^151+693x^152+300x^153+264x^154+144x^155+45x^156+9x^160+3x^164

The gray image is a linear code over GF(4) with n=188, k=8 and d=127.
This code was found by Heurico 1.16 in 12.5 seconds.