The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 aX 1 1 1 1 1 X (a+1)X 1 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 1 X 1 1 1 aX 1 1 1 0 1 0 0 X (a+1)X 1 a a+1 (a+1)X+1 (a+1)X+a+1 X+a 1 1 (a+1)X+1 (a+1)X+a (a+1)X+a aX+a+1 1 X+a+1 X (a+1)X+a+1 aX+a X+1 aX 1 1 aX+a+1 a+1 aX+a aX X+a+1 X+a aX 0 1 X+1 X a a 1 (a+1)X+a+1 X (a+1)X+a+1 1 X+a X aX+a 0 0 1 1 (a+1)X+a a+1 X+a+1 a X+1 a X+a (a+1)X (a+1)X+1 1 aX X+a+1 X+1 a+1 aX+a+1 (a+1)X X aX+a aX (a+1)X+a 1 X+1 (a+1)X+a+1 X X+a+1 0 a+1 (a+1)X+a X+a aX+a X X+1 (a+1)X 1 X+a (a+1)X+1 (a+1)X (a+1)X+1 X+1 aX X+1 aX+a+1 a (a+1)X+1 0 0 0 (a+1)X 0 aX aX 0 (a+1)X aX (a+1)X 0 0 X 0 X aX (a+1)X 0 X (a+1)X X aX X (a+1)X X (a+1)X 0 aX X 0 0 X aX X (a+1)X (a+1)X X aX 0 X aX X (a+1)X X (a+1)X 0 (a+1)X generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+372x^133+684x^134+192x^136+1104x^137+1824x^138+303x^140+1212x^141+2136x^142+168x^144+1488x^145+2244x^146+132x^148+1212x^149+1488x^150+126x^152+480x^153+780x^154+90x^156+276x^157+60x^158+3x^160+6x^168+3x^172 The gray image is a linear code over GF(4) with n=192, k=7 and d=133. This code was found by Heurico 1.16 in 1.11 seconds.