The generator matrix 1 0 1 1 1 0 1 1 6 1 2 1 1 0 1 6 1 1 4 1 1 1 1 1 4 6 1 1 4 1 1 6 4 1 1 1 1 1 6 1 0 1 1 1 1 0 1 0 1 1 1 1 0 6 1 1 1 0 1 1 1 4 1 4 6 1 6 1 1 1 1 4 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 1 2 7 1 6 1 7 4 1 3 1 5 2 1 0 5 7 0 5 1 1 2 5 1 6 4 1 1 7 3 2 5 5 1 4 1 4 0 3 7 1 2 1 6 1 5 4 1 1 3 4 7 1 4 6 3 1 3 1 1 1 1 3 4 3 4 1 3 6 6 0 5 7 4 1 1 1 4 7 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 4 6 4 4 4 2 2 0 6 4 2 2 4 6 6 2 6 2 2 4 6 0 0 6 6 2 4 0 2 6 0 2 0 0 2 2 6 4 4 4 6 6 4 2 0 0 6 4 2 2 4 2 0 4 2 0 0 2 2 0 2 4 0 2 6 4 4 6 2 0 0 0 2 0 0 2 4 0 0 0 4 4 2 2 6 6 4 2 2 0 2 6 2 2 6 6 4 4 6 0 2 4 4 6 4 2 2 2 6 0 6 0 4 6 6 6 0 2 6 0 0 0 0 0 2 4 0 2 4 6 6 6 2 2 6 6 4 4 6 6 2 2 2 6 4 2 0 6 0 0 6 0 6 0 0 0 0 2 0 0 6 4 4 0 0 4 0 0 4 4 4 0 4 4 0 0 0 0 2 2 6 2 6 6 6 6 4 2 6 6 6 2 2 4 2 6 6 2 6 4 6 2 6 2 0 6 2 4 4 6 6 0 0 2 0 4 0 2 2 4 0 2 2 4 6 6 4 4 2 4 2 0 2 4 6 2 6 0 0 0 0 0 2 0 0 0 4 6 0 2 2 4 2 0 6 0 6 6 6 2 6 4 6 4 2 6 2 0 4 4 2 0 2 2 0 4 4 6 6 4 4 6 6 0 2 2 0 0 0 6 0 6 6 6 0 2 2 0 2 0 2 4 2 4 6 6 0 6 6 2 4 4 0 0 4 0 0 4 6 2 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 4 4 4 4 4 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 4 0 4 4 4 0 0 0 0 0 4 0 4 4 4 4 0 4 4 4 0 4 0 4 4 4 0 4 0 0 0 4 4 0 4 4 0 0 4 0 0 4 4 0 4 generates a code of length 84 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+155x^72+12x^73+531x^74+132x^75+955x^76+508x^77+1637x^78+1208x^79+2352x^80+1940x^81+3016x^82+2340x^83+3384x^84+2356x^85+3050x^86+1932x^87+2328x^88+1200x^89+1447x^90+520x^91+780x^92+128x^93+437x^94+12x^95+229x^96+110x^98+48x^100+12x^102+5x^104+1x^108+2x^112 The gray image is a code over GF(2) with n=336, k=15 and d=144. This code was found by Heurico 1.16 in 63.4 seconds.