The generator matrix

 1  0  0  0  1  1  1  X  1 aX  1  1  X  1  1  0  1  1  1  1  1  1  1  1  1  1 (a+1)X  X  1  1 (a+1)X  1  0  1  1  1  1  1  1  1  1  1  1 (a+1)X  0  1  1  1
 0  1  0  0  X  1 X+1  1 (a+1)X  1 (a+1)X+1  0  1 X+1 aX+1  1 aX+a aX+1 a+1 (a+1)X+a+1 aX aX+a X+a X+1 aX X+a  1  1 (a+1)X+a (a+1)X+a+1  1 aX+1  1 X+a+1  a  a aX+a (a+1)X+a X+1 aX+1  1  0  X  1  1 (a+1)X+a aX+a+1 aX
 0  0  1  0 (a+1)X+1  1 (a+1)X (a+1)X+1 aX+1  a aX (a+1)X+a aX+1 a+1  a a+1  0 X+a  X (a+1)X (a+1)X+a+1 aX X+a aX+1 aX+a X+a+1 aX+1 (a+1)X+a X+1 a+1 X+a+1  0  0 aX+a+1 aX aX+a (a+1)X+a+1 aX+a+1 X+a+1 X+1 X+a+1 aX+a  1 (a+1)X+1 (a+1)X+a aX+1 a+1 X+a+1
 0  0  0  1 a+1  X aX+a+1 aX+a+1  a aX (a+1)X+a aX (a+1)X+a (a+1)X  1 (a+1)X+1 X+1 X+a+1 X+a (a+1)X+1 aX+1 (a+1)X+a+1 aX+a+1 a+1  1  X  0 a+1  0 X+1 X+a (a+1)X+1 (a+1)X+a+1 a+1 (a+1)X  X X+a aX+a+1 aX+a X+1 aX+1 aX  0 aX+1 aX+a aX+1 (a+1)X+a X+a

generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+468x^130+696x^131+624x^132+900x^133+1752x^134+2004x^135+1872x^136+1824x^137+3024x^138+2940x^139+2769x^140+2592x^141+4344x^142+4296x^143+3783x^144+2880x^145+4788x^146+4416x^147+3429x^148+2580x^149+3864x^150+3108x^151+2142x^152+1248x^153+1512x^154+876x^155+207x^156+264x^157+216x^158+96x^159+18x^160+3x^164

The gray image is a linear code over GF(4) with n=192, k=8 and d=130.
This code was found by Heurico 1.16 in 15.3 seconds.