The generator matrix 1 0 0 1 1 1 2 1 1 6 1 4 1 6 4 1 1 4 1 6 1 1 1 1 2 2 1 4 1 1 1 4 4 1 1 1 6 1 1 1 6 1 6 1 1 4 1 0 4 4 1 6 2 1 0 6 1 1 2 0 6 6 1 4 1 0 4 6 1 1 4 1 4 4 1 1 1 1 1 1 4 4 1 1 0 1 0 2 1 3 1 0 6 4 7 1 3 1 2 7 0 1 6 1 1 5 4 1 1 2 2 1 7 6 7 1 4 4 2 4 1 4 2 5 2 1 1 7 3 1 7 1 6 1 1 6 1 2 4 1 4 5 2 1 0 1 0 1 5 1 4 1 4 1 1 4 1 4 0 2 1 3 6 6 1 1 1 0 0 0 1 1 3 6 1 6 3 1 1 1 0 0 1 7 3 2 0 3 2 0 5 1 2 1 2 7 4 3 5 2 1 5 4 7 3 2 2 3 1 0 0 3 1 0 2 3 1 6 1 1 7 5 1 0 4 0 1 2 1 7 0 5 3 6 1 0 0 6 5 7 1 1 3 4 1 7 1 3 7 5 1 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 4 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 4 0 4 4 0 0 4 4 0 4 0 4 0 4 0 0 4 4 4 0 4 4 0 0 0 4 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 0 0 0 0 4 0 4 0 4 0 4 4 0 4 4 4 4 0 4 4 0 0 4 0 0 4 0 4 0 4 4 0 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4 4 4 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 0 4 4 0 4 0 0 4 0 0 0 4 4 4 0 4 4 0 0 4 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 0 0 0 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 0 4 4 0 0 4 0 0 0 4 0 4 0 0 0 4 4 4 0 0 4 0 4 0 4 4 4 4 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 4 4 0 0 0 0 4 0 0 4 0 0 0 4 4 0 4 4 4 0 4 0 4 4 0 0 4 4 4 0 4 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 4 0 4 0 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+57x^72+108x^73+300x^74+506x^75+617x^76+1162x^77+1204x^78+1814x^79+1704x^80+2560x^81+2088x^82+3108x^83+2392x^84+3042x^85+2243x^86+2606x^87+1696x^88+1860x^89+1059x^90+1034x^91+582x^92+422x^93+218x^94+138x^95+87x^96+48x^97+38x^98+8x^99+24x^100+14x^101+15x^102+2x^103+7x^104+3x^106+1x^108 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 51.6 seconds.