The generator matrix 1 0 0 1 1 1 2 0 1 1 0 1 1 2 1 1 2 2 1 1 6 0 1 0 0 1 1 4 1 2 1 1 0 1 0 1 1 1 1 1 1 6 2 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 2 3 1 0 0 5 1 2 7 1 0 6 1 0 5 1 1 1 4 0 1 1 4 2 4 1 1 7 1 3 6 5 2 6 7 0 2 6 4 0 2 4 2 1 1 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 2 3 2 3 2 1 3 0 0 1 0 1 3 7 3 1 1 1 3 1 5 1 6 5 3 1 1 5 3 4 6 5 4 1 6 7 6 1 1 4 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 0 6 2 0 2 2 0 0 4 4 6 2 0 4 0 6 2 0 6 0 2 4 0 2 0 6 6 6 4 4 0 0 2 2 2 2 2 6 4 6 0 6 4 6 4 2 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 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 0 4 0 4 0 0 0 4 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 0 0 0 4 0 0 0 4 0 4 4 0 0 0 4 4 4 4 0 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 4 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 4 0 0 0 4 4 4 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 4 0 4 4 0 0 4 0 0 0 4 4 4 4 0 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 4 0 4 4 4 0 0 4 0 0 4 4 0 4 0 0 4 4 4 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 4 4 4 0 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 4 4 4 4 4 4 0 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 0 0 4 4 4 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 67 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+32x^40+8x^41+112x^42+32x^43+186x^44+168x^45+330x^46+480x^47+601x^48+888x^49+757x^50+1040x^51+803x^52+776x^53+637x^54+488x^55+370x^56+346x^57+382x^58+544x^59+800x^60+1478x^61+1932x^62+2870x^63+3908x^64+4620x^65+5589x^66+5310x^67+5427x^68+4576x^69+3874x^70+3016x^71+2077x^72+1314x^73+773x^74+556x^75+332x^76+322x^77+378x^78+514x^79+662x^80+860x^81+775x^82+1026x^83+781x^84+848x^85+610x^86+456x^87+325x^88+172x^89+179x^90+52x^91+66x^92+8x^93+46x^94+8x^96+9x^98+5x^100+1x^102 The gray image is a code over GF(2) with n=268, k=16 and d=80. This code was found by Heurico 1.16 in 98.2 seconds.