The generator matrix 1 0 0 0 1 1 1 1 2 1 1 1 6 0 1 1 1 2 1 4 0 4 0 4 4 1 6 1 0 1 1 1 1 1 1 1 2 0 4 6 1 6 4 1 1 1 2 2 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 2 0 3 1 1 1 0 1 0 2 2 3 1 7 4 1 0 4 1 1 3 0 5 1 6 4 2 6 2 0 5 1 1 1 1 7 1 1 4 0 4 1 1 6 3 7 2 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 2 1 1 2 3 3 1 3 6 6 7 0 6 4 1 1 3 2 7 1 0 5 4 2 6 6 6 4 0 2 3 5 6 6 3 7 4 6 3 0 1 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 0 2 3 0 3 1 2 1 4 4 2 1 1 1 7 3 4 0 5 0 0 5 2 7 3 7 1 5 1 1 3 5 0 3 5 6 3 0 0 7 7 0 2 1 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 6 0 0 4 0 6 6 6 4 4 6 4 6 0 2 4 4 2 4 4 2 2 2 0 6 0 6 2 0 4 4 6 0 6 0 0 2 6 0 4 6 0 2 0 0 4 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+38x^43+50x^44+108x^45+152x^46+286x^47+326x^48+428x^49+621x^50+690x^51+940x^52+886x^53+872x^54+836x^55+609x^56+492x^57+325x^58+200x^59+138x^60+90x^61+183x^62+324x^63+421x^64+978x^65+1156x^66+2374x^67+2428x^68+4492x^69+3903x^70+6066x^71+4383x^72+6384x^73+3906x^74+4604x^75+2502x^76+2328x^77+1118x^78+850x^79+430x^80+270x^81+121x^82+148x^83+196x^84+296x^85+369x^86+474x^87+611x^88+778x^89+857x^90+868x^91+890x^92+640x^93+607x^94+542x^95+365x^96+230x^97+132x^98+126x^99+38x^100+32x^101+12x^102+6x^103+5x^104+2x^106+2x^108+1x^112 The gray image is a code over GF(2) with n=288, k=16 and d=86. This code was found by Heurico 1.16 in 97.7 seconds.