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  X  X (a+1)X  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  1  1 aX X+a a+1 X+a
 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 X+a  1 X+a X+a+1 aX+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 X+1 X+a+1 aX+a  1 aX 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+612x^130+672x^131+441x^132+804x^133+2460x^134+2256x^135+921x^136+1272x^137+3948x^138+3576x^139+1584x^140+1728x^141+5292x^142+5040x^143+2457x^144+2232x^145+6456x^146+5472x^147+1974x^148+2076x^149+5040x^150+3504x^151+1206x^152+1008x^153+1992x^154+936x^155+96x^156+96x^157+312x^158+48x^159+12x^160+9x^164+3x^168

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 13.7 seconds.