The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 (a+1)X 1 1 1 1 (a+1)X 1 1 1 1 1 0 1 1 1 1 1 0 (a+1)X 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 X 1 1 (a+1)X aX 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 0 0 0 (a+1)X 1 (a+1)X+a a+1 (a+1)X+1 1 (a+1)X+a (a+1)X+a+1 (a+1)X+a+1 1 1 a (a+1)X+1 a+1 X+a 1 (a+1)X (a+1)X+a+1 X (a+1)X X+1 1 X+a 1 a+1 X+a aX+a+1 1 1 X+a 1 X+1 (a+1)X 1 a+1 X aX+a (a+1)X aX+a+1 0 1 X+a+1 1 (a+1)X (a+1)X+1 aX+1 1 aX+a 1 aX+a+1 aX (a+1)X+a a 1 1 X+1 aX X aX+a+1 (a+1)X X aX+a+1 (a+1)X+a aX+1 aX+1 a 1 X X+a+1 (a+1)X 0 0 1 1 a a+1 1 X+1 1 0 a+1 X+a+1 aX a a 1 aX+a a a+1 aX a+1 0 X+a+1 X+a X+a+1 (a+1)X+a+1 aX+a+1 aX+a X+1 aX+a X+a+1 1 (a+1)X a X+1 aX (a+1)X+1 X+a X+1 (a+1)X X+1 X+a+1 a+1 X+a (a+1)X aX+a+1 0 a (a+1)X aX+a+1 a (a+1)X (a+1)X 0 aX+1 1 X+a+1 X aX+a+1 aX+a+1 aX+1 X+a+1 aX+1 X+a+1 X+a a+1 (a+1)X+1 a+1 0 aX+1 a aX 0 X+a 1 0 0 0 (a+1)X 0 0 0 aX aX aX (a+1)X X X X X (a+1)X (a+1)X aX (a+1)X aX X 0 0 X aX 0 0 X 0 aX (a+1)X X X (a+1)X X aX 0 (a+1)X aX X aX X X 0 X (a+1)X aX X X X 0 aX (a+1)X aX 0 (a+1)X aX (a+1)X X X aX aX 0 X 0 (a+1)X (a+1)X X (a+1)X aX aX (a+1)X (a+1)X 0 aX 0 0 0 0 X aX (a+1)X X 0 aX X (a+1)X X 0 X (a+1)X aX 0 aX aX (a+1)X (a+1)X 0 aX aX X (a+1)X X X X 0 aX aX aX aX (a+1)X aX 0 0 0 aX 0 X X aX aX X aX (a+1)X 0 0 X aX (a+1)X (a+1)X aX (a+1)X X X aX 0 X aX X 0 (a+1)X X X aX aX X (a+1)X X aX (a+1)X generates a code of length 75 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 208. Homogenous weight enumerator: w(x)=1x^0+417x^208+228x^209+360x^210+648x^211+1770x^212+936x^213+1212x^214+1428x^215+3066x^216+1704x^217+1800x^218+1548x^219+4917x^220+2004x^221+2076x^222+2400x^223+5793x^224+2388x^225+2328x^226+2532x^227+5175x^228+2244x^229+2304x^230+1872x^231+3921x^232+1728x^233+1416x^234+1332x^235+2640x^236+828x^237+636x^238+432x^239+777x^240+192x^241+144x^242+84x^243+87x^244+36x^245+12x^246+12x^247+33x^248+45x^252+18x^256+6x^260+6x^264 The gray image is a linear code over GF(4) with n=300, k=8 and d=208. This code was found by Heurico 1.16 in 22.3 seconds.