The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 4 2 2 4 1 2 2 2 0 1 2 1 0 2 2 2 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1 1 1 1 4 0 2 4 1 0 1 0 2 0 0 0 2 6 2 0 4 0 2 0 0 6 6 2 2 2 0 4 4 6 2 4 2 0 6 6 2 4 4 2 4 2 2 4 4 2 4 0 0 0 0 0 0 2 2 0 6 6 2 6 6 2 2 4 2 6 0 0 6 2 2 4 2 0 2 4 0 2 6 0 4 4 2 0 2 2 2 2 2 2 6 0 0 2 0 2 2 6 0 0 0 2 4 0 6 2 0 6 4 6 2 4 6 4 6 0 6 6 4 0 4 6 4 2 4 2 0 0 0 6 2 4 2 2 2 2 6 0 6 6 4 6 4 6 6 6 4 4 4 6 0 2 4 4 4 2 6 6 2 6 4 2 4 2 6 6 4 4 6 6 6 4 0 0 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 2 4 0 0 6 6 2 4 6 2 0 0 4 4 6 4 6 2 0 2 4 6 2 2 6 6 2 2 2 2 6 4 2 6 0 0 6 0 4 2 4 6 6 2 6 6 0 4 6 0 0 4 6 0 6 0 2 2 0 2 6 4 0 4 0 6 6 4 4 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 4 4 0 4 0 4 4 0 0 4 4 0 0 4 4 0 4 0 0 0 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 0 0 0 4 0 0 4 4 4 4 0 0 4 4 4 0 0 0 0 4 0 4 4 4 0 4 4 4 0 0 4 4 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 4 4 0 0 0 4 4 0 4 4 0 4 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 4 4 4 0 0 0 0 4 0 0 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 0 4 4 0 0 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 0 4 4 0 0 4 4 0 4 4 0 4 4 4 4 0 0 4 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 4 4 0 4 0 4 0 4 0 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 4 0 4 0 4 0 0 0 4 0 4 0 0 4 4 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+206x^72+12x^73+448x^74+20x^75+792x^76+148x^77+906x^78+328x^79+1360x^80+696x^81+1628x^82+840x^83+1789x^84+840x^85+1562x^86+720x^87+1336x^88+316x^89+892x^90+132x^91+656x^92+36x^93+354x^94+8x^95+191x^96+88x^98+54x^100+10x^102+10x^104+4x^108+1x^116 The gray image is a code over GF(2) with n=336, k=14 and d=144. This code was found by Heurico 1.16 in 28.3 seconds.