The generator matrix 1 0 1 1 1 0 1 1 0 1 1 6 1 1 2 1 0 0 4 1 0 1 1 2 4 6 2 1 1 2 0 1 4 1 1 1 2 1 1 1 2 4 6 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 6 5 1 0 7 1 7 1 1 1 1 1 4 4 2 4 1 4 4 7 1 1 3 1 1 6 7 1 4 5 3 2 1 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 6 6 0 0 2 2 2 0 0 2 4 6 2 4 2 0 4 6 4 4 4 4 6 4 6 6 2 6 0 6 6 2 4 6 6 6 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 2 6 0 2 0 2 4 6 6 2 0 4 2 4 6 2 0 2 6 0 6 4 6 6 0 4 6 2 0 0 6 6 4 2 4 6 6 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 0 2 0 2 2 6 6 0 4 2 2 6 4 0 2 6 0 6 2 0 6 2 4 6 6 2 4 2 2 2 4 6 6 6 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 0 0 4 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 4 0 4 0 4 4 0 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 0 4 4 0 0 0 4 4 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 4 0 4 0 4 4 4 4 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 4 4 0 0 0 4 0 4 0 4 0 4 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 57 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+33x^34+44x^35+56x^36+98x^37+116x^38+274x^39+220x^40+652x^41+267x^42+1256x^43+317x^44+1586x^45+415x^46+1320x^47+515x^48+992x^49+963x^50+1182x^51+2236x^52+2302x^53+4574x^54+4118x^55+6685x^56+5090x^57+6581x^58+4076x^59+4656x^60+2380x^61+2357x^62+1240x^63+857x^64+962x^65+456x^66+1266x^67+422x^68+1584x^69+352x^70+1332x^71+281x^72+626x^73+192x^74+240x^75+107x^76+94x^77+66x^78+36x^79+25x^80+14x^81+12x^82+6x^84+4x^85 The gray image is a code over GF(2) with n=228, k=16 and d=68. This code was found by Heurico 1.16 in 98.1 seconds.