The generator matrix

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

generates a code of length 47 over F4[X]/(X^2) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+1008x^131+462x^132+2448x^135+918x^136+2868x^139+960x^140+2700x^143+888x^144+2100x^147+624x^148+948x^151+222x^152+216x^155+12x^156+3x^160+6x^164

The gray image is a linear code over GF(4) with n=188, k=7 and d=131.
This code was found by Heurico 1.16 in 50.4 seconds.