The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 1 aX aX 1 1 1 1 aX 1 1 aX 1 1 1 1 1 1 (a+1)X 0 1 1 0 1 1 aX aX 1 1 1 1 1 1 0 1 0 0 0 X X (a+1)X+1 aX+1 1 aX+a a+1 X+a (a+1)X+a+1 1 X 0 1 (a+1)X a a+1 a (a+1)X+a 1 a+1 aX+1 1 0 (a+1)X+1 X+a+1 X X+a aX 1 1 (a+1)X+a+1 0 1 a 1 1 aX (a+1)X+1 1 1 1 aX (a+1)X+1 0 0 1 0 1 (a+1)X+a (a+1)X+a+1 X aX+a aX+a aX 0 aX+a+1 aX+1 a+1 X+a 0 X+a 1 X+1 X a (a+1)X aX+1 X+a+1 a X+a+1 aX X+a+1 aX+1 aX+1 X+1 aX+a+1 a+1 X+1 X X+1 aX+1 (a+1)X+a+1 (a+1)X+a+1 aX+a+1 1 aX+a+1 1 X+a+1 (a+1)X (a+1)X aX+a 0 0 0 1 a+1 a 1 (a+1)X+a aX (a+1)X+a (a+1)X+1 X+a+1 a aX+a 0 aX a+1 (a+1)X X+a aX+1 (a+1)X+a aX+1 (a+1)X a aX a+1 a+1 1 a aX+a+1 aX+1 (a+1)X a+1 0 aX+1 aX+1 (a+1)X+a X X+1 (a+1)X+a+1 a X+1 X+a+1 X+a (a+1)X+a aX+a+1 X+1 (a+1)X 0 0 0 0 X 0 aX 0 0 0 aX X aX X aX X aX aX aX X (a+1)X (a+1)X X X 0 X (a+1)X 0 X 0 aX aX 0 X (a+1)X aX 0 aX X 0 (a+1)X X aX X 0 X (a+1)X 0 generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+372x^126+744x^127+387x^128+540x^129+3156x^130+3048x^131+1482x^132+1992x^133+7500x^134+7560x^135+3681x^136+4584x^137+14652x^138+13812x^139+6192x^140+7548x^141+23904x^142+20940x^143+9402x^144+10620x^145+26556x^146+21792x^147+8748x^148+8016x^149+19692x^150+13872x^151+4227x^152+3072x^153+7572x^154+3972x^155+567x^156+492x^157+1044x^158+276x^159+57x^160+30x^164+15x^168+15x^172+3x^176+6x^180+3x^184 The gray image is a linear code over GF(4) with n=192, k=9 and d=126. This code was found by Heurico 1.16 in 172 seconds.