The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 1 1 (a+1)X aX 1 1 1 1 1 1 1 1 1 1 0 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X (a+1)X 1 1 1 1 1 1 1 0 (a+1)X 1 1 aX 1 1 1 1 X 1 1 X aX 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 (a+1)X+a+1 1 (a+1)X+a+1 1 (a+1)X+1 a+1 a 1 1 a+1 (a+1)X+a+1 0 X+1 a 1 X X+a+1 X aX+a 1 1 (a+1)X+1 aX+1 (a+1)X aX aX+a+1 X+a a X+a+1 aX+a 1 1 1 aX+1 (a+1)X+a 1 1 1 0 (a+1)X+a+1 aX+1 (a+1)X aX+a+1 (a+1)X+a+1 X 1 X (a+1)X (a+1)X+a 1 aX+1 (a+1)X X+a+1 1 1 (a+1)X aX+a+1 1 aX 0 0 0 0 1 1 a a+1 1 X+1 1 0 a+1 X+a+1 a aX+a X+1 aX a a a+1 X X+a+1 0 (a+1)X+a X+1 (a+1)X+a X (a+1)X+a+1 (a+1)X+1 (a+1)X+a+1 aX+a+1 (a+1)X X+a (a+1)X+a X+a+1 (a+1)X+a aX+a aX+a aX+1 aX X X+1 X aX+a+1 (a+1)X aX+1 a+1 X+1 aX+1 (a+1)X+a+1 (a+1)X+a (a+1)X aX+a (a+1)X+1 X 1 a a+1 (a+1)X+a+1 1 1 1 aX a aX (a+1)X aX+a+1 X+a+1 a+1 aX+a aX+a a+1 1 X+a+1 0 0 0 0 (a+1)X 0 0 0 aX aX aX (a+1)X X (a+1)X X (a+1)X X X aX (a+1)X X aX 0 X (a+1)X aX 0 aX 0 X 0 X (a+1)X 0 0 (a+1)X aX X aX 0 X 0 0 aX aX X aX (a+1)X 0 X X aX (a+1)X (a+1)X (a+1)X X 0 aX (a+1)X aX 0 X aX (a+1)X X 0 0 (a+1)X 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 0 0 0 0 0 X aX (a+1)X X 0 aX X (a+1)X aX 0 (a+1)X X X 0 aX 0 X (a+1)X aX (a+1)X X aX aX X (a+1)X 0 aX X X (a+1)X aX X aX 0 X aX X (a+1)X (a+1)X X aX (a+1)X aX aX 0 aX (a+1)X aX 0 0 (a+1)X aX 0 0 0 X X X aX 0 X X (a+1)X X (a+1)X X (a+1)X (a+1)X aX aX generates a code of length 74 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 204. Homogenous weight enumerator: w(x)=1x^0+210x^204+84x^205+228x^206+660x^207+1518x^208+396x^209+912x^210+1644x^211+2751x^212+744x^213+1452x^214+2508x^215+4329x^216+984x^217+2100x^218+3288x^219+5178x^220+1104x^221+2664x^222+3744x^223+5739x^224+1092x^225+2328x^226+3180x^227+4908x^228+1032x^229+1644x^230+2316x^231+2676x^232+480x^233+804x^234+912x^235+1056x^236+204x^237+156x^238+180x^239+198x^240+24x^241+36x^244+24x^248+18x^252+18x^256+3x^260+9x^264 The gray image is a linear code over GF(4) with n=296, k=8 and d=204. This code was found by Heurico 1.16 in 23.5 seconds.