The generator matrix 1 0 0 1 1 1 6 1 1 0 4 2 1 1 1 2 0 1 1 6 6 1 1 2 1 4 1 1 1 0 4 1 2 1 1 6 1 6 2 1 4 2 1 4 0 1 2 2 1 1 2 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 0 1 0 1 6 3 1 0 1 1 2 1 4 1 3 2 0 7 5 0 0 3 2 1 0 1 0 4 5 2 1 7 0 0 5 1 2 1 4 5 2 1 0 1 0 2 1 4 5 5 0 6 6 1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 3 6 3 6 1 1 1 2 0 1 1 2 0 1 1 0 1 2 0 1 0 2 0 0 2 1 0 3 0 0 1 0 2 3 1 1 3 1 1 2 1 2 0 0 0 3 3 1 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 0 4 0 0 0 0 0 4 0 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 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 0 4 0 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 4 0 0 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 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 4 4 4 0 4 4 0 4 0 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 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 0 0 0 0 0 0 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 4 4 4 0 4 0 0 0 0 0 4 4 4 0 0 4 4 0 0 4 0 0 4 4 0 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 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 4 4 0 0 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 4 0 4 0 4 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 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 0 4 0 4 4 0 4 0 4 4 0 4 0 0 0 0 0 4 0 0 4 0 4 4 4 0 0 4 0 4 4 0 4 4 0 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 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+4x^41+19x^42+26x^43+46x^44+40x^45+108x^46+168x^47+181x^48+244x^49+335x^50+578x^51+557x^52+546x^53+746x^54+854x^55+792x^56+672x^57+605x^58+458x^59+396x^60+240x^61+196x^62+194x^63+74x^64+56x^65+79x^66+114x^67+149x^68+218x^69+576x^70+714x^71+1524x^72+1962x^73+2886x^74+3836x^75+4416x^76+5418x^77+5190x^78+5444x^79+4630x^80+3916x^81+3058x^82+1960x^83+1380x^84+704x^85+511x^86+242x^87+190x^88+74x^89+56x^90+86x^91+103x^92+124x^93+223x^94+350x^95+378x^96+422x^97+552x^98+676x^99+737x^100+704x^101+796x^102+734x^103+612x^104+408x^105+359x^106+398x^107+173x^108+118x^109+61x^110+52x^111+30x^112+2x^113+18x^114+12x^115+11x^116+9x^118+4x^120+1x^122 The gray image is a code over GF(2) with n=312, k=16 and d=82. This code was found by Heurico 1.16 in 100 seconds.