The generator matrix

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

generates a code of length 47 over F4[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+228x^123+594x^124+540x^125+1416x^126+1740x^127+2244x^128+2088x^129+4596x^130+5148x^131+5307x^132+5040x^133+9948x^134+10848x^135+9549x^136+9120x^137+16056x^138+16692x^139+13686x^140+13008x^141+21840x^142+19740x^143+15423x^144+12456x^145+17844x^146+14052x^147+9561x^148+5568x^149+6924x^150+4824x^151+2658x^152+1296x^153+1248x^154+456x^155+303x^156+36x^157+21x^160+12x^164+21x^168+9x^172+3x^176

The gray image is a linear code over GF(4) with n=188, k=9 and d=123.
This code was found by Heurico 1.16 in 161 seconds.