The generator matrix 1 0 0 1 1 1 1 1 1 1 1 (a+1)X 0 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 0 1 1 1 1 1 (a+1)X 1 1 1 0 1 0 0 1 X (a+1)X+a a+1 (a+1)X+1 (a+1)X+1 a 1 1 (a+1)X+a (a+1)X+a+1 a 1 1 (a+1)X+a+1 a+1 a aX (a+1)X+a+1 aX+a+1 1 1 (a+1)X+1 X X+a+1 X (a+1)X X+1 (a+1)X+a+1 a+1 0 X aX+a 1 1 (a+1)X aX+1 1 1 X+a+1 1 aX+1 0 0 0 0 1 1 a+1 (a+1)X+a a+1 X+a+1 a 0 X X+a+1 a X+1 0 a aX+1 X+1 a X+1 (a+1)X+a+1 a+1 X+a aX (a+1)X+1 (a+1)X+1 X+a aX+a 1 (a+1)X a+1 (a+1)X+a+1 a+1 a aX+a+1 1 (a+1)X+a aX+a+1 aX+a X+1 1 (a+1)X+a+1 X+a aX+1 aX (a+1)X a 0 0 0 0 (a+1)X 0 X aX X 0 0 0 (a+1)X aX (a+1)X aX (a+1)X 0 X 0 aX aX (a+1)X (a+1)X X aX 0 X (a+1)X (a+1)X aX 0 X (a+1)X X aX X aX 0 X (a+1)X 0 aX 0 0 (a+1)X aX (a+1)X X 0 0 0 0 X 0 0 aX aX (a+1)X X X (a+1)X (a+1)X (a+1)X aX X 0 (a+1)X 0 aX X 0 aX aX aX aX aX (a+1)X aX aX X aX 0 (a+1)X (a+1)X X 0 X X 0 0 (a+1)X aX aX (a+1)X (a+1)X aX generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+285x^128+180x^129+72x^130+384x^131+1719x^132+852x^133+504x^134+1056x^135+4395x^136+1548x^137+852x^138+1992x^139+6201x^140+2304x^141+1440x^142+3120x^143+8181x^144+3420x^145+1728x^146+3456x^147+8199x^148+2628x^149+1224x^150+1968x^151+4689x^152+1092x^153+324x^154+312x^155+1017x^156+264x^157+51x^160+24x^164+24x^168+18x^172+6x^176+6x^180 The gray image is a linear code over GF(4) with n=192, k=8 and d=128. This code was found by Heurico 1.16 in 13 seconds.