The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 0 1 1 aX 1 aX (a+1)X 1 X 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 0 0 1 X 1 1 1 1 1 1 1 aX 1 1 (a+1)X 1 aX 1 1 aX 1 1 0 0 1 0 0 (a+1)X X (a+1)X aX aX aX 1 (a+1)X+a a+1 aX+a+1 1 (a+1)X+1 (a+1)X+a+1 1 X+a+1 X+a 1 aX+1 1 a 1 a+1 aX+a+1 aX+1 a+1 X+a (a+1)X+1 1 a aX+1 1 a X+a+1 aX+a X 1 (a+1)X aX 1 X (a+1)X 1 a 1 X+a 1 X+a+1 (a+1)X (a+1)X+a 1 (a+1)X+a aX+a X+1 (a+1)X+1 aX+a+1 X+a+1 a+1 1 (a+1)X (a+1)X+a+1 0 X aX+a a (a+1)X+a aX a+1 (a+1)X 1 X+a+1 (a+1)X+1 (a+1)X (a+1)X+a+1 X 0 a+1 1 (a+1)X X+1 1 0 0 1 0 0 (a+1)X X 1 (a+1)X+a a+1 aX (a+1)X X aX+a+1 X+a X+a+1 1 a X+a aX+a aX+a+1 a X+a+1 a+1 aX+1 (a+1)X+a+1 X 0 (a+1)X aX+1 (a+1)X+a+1 (a+1)X+a aX+a X+1 0 1 X+1 (a+1)X a+1 aX+a+1 X+a aX+a a aX+1 1 (a+1)X+1 aX+a+1 aX+1 (a+1)X+a X+a+1 aX+a X+a+1 X+a X+a (a+1)X+a+1 aX aX aX a 1 X+a+1 X+1 aX aX+a 1 (a+1)X+a a+1 aX 1 a 1 aX+1 aX+1 aX+a 0 1 (a+1)X 1 aX+a+1 X+1 a a+1 (a+1)X+a+1 aX+1 0 0 0 1 1 a (a+1)X+a+1 (a+1)X+a+1 a+1 X+a+1 aX+a+1 aX+a+1 aX+a+1 X aX+a aX a 1 (a+1)X a+1 0 X+a aX+a 1 (a+1)X+1 a+1 aX+a (a+1)X X+1 1 1 X+1 aX 0 X+a+1 0 aX+1 X+a X+a aX+a+1 aX+a 0 X aX X+a X+1 (a+1)X+a+1 a+1 (a+1)X+a a (a+1)X+1 aX+1 X+1 (a+1)X+a (a+1)X (a+1)X (a+1)X+a (a+1)X+a+1 aX+a+1 a+1 a (a+1)X+a 1 X+a a (a+1)X+a+1 X+a a+1 aX+a+1 X+1 (a+1)X+a X+a aX X+a+1 X+1 aX+1 1 aX+a+1 a+1 (a+1)X 1 aX X+a+1 X+a+1 generates a code of length 84 over F4[X,sigma]/(X^2) who�s minimum homogenous weight is 236. Homogenous weight enumerator: w(x)=1x^0+504x^236+936x^237+780x^238+696x^239+1833x^240+2400x^241+1692x^242+1188x^243+2976x^244+3060x^245+2016x^246+1536x^247+3600x^248+3504x^249+2328x^250+1692x^251+3438x^252+3516x^253+2700x^254+1524x^255+3258x^256+3720x^257+2004x^258+1320x^259+3102x^260+2340x^261+1512x^262+948x^263+1590x^264+1404x^265+576x^266+264x^267+558x^268+552x^269+192x^270+48x^271+126x^272+60x^273+24x^274+6x^276+12x^277 The gray image is a linear code over GF(4) with n=336, k=8 and d=236. This code was found by Heurico 1.16 in 53 seconds.