The generator matrix 1 0 1 1 1 0 1 1 0 1 1 6 1 1 4 1 1 1 4 0 1 2 2 1 1 0 4 1 1 1 0 1 1 0 1 2 6 1 0 1 1 1 0 1 4 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 6 5 1 0 3 1 1 4 6 2 1 1 1 1 6 5 4 1 3 4 5 1 7 0 4 2 2 1 0 1 5 0 4 1 1 1 0 0 0 0 0 0 0 0 0 0 2 0 0 6 6 0 0 2 2 2 0 0 6 4 4 4 2 4 6 4 0 0 2 2 4 2 6 4 4 4 4 2 6 0 4 2 2 0 2 6 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 2 6 0 2 0 2 0 4 2 0 4 6 6 0 0 0 6 6 6 6 6 0 4 6 4 0 4 2 0 2 2 2 6 2 2 4 6 0 2 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 0 2 0 2 2 4 4 0 2 0 6 2 0 2 6 2 0 0 0 2 2 6 2 2 6 0 4 6 0 2 4 4 4 2 0 6 0 2 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 4 4 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 0 0 0 0 4 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 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 4 4 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 0 4 4 4 4 4 4 0 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 0 0 4 4 0 4 4 4 0 4 4 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 generates a code of length 53 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+14x^34+48x^35+86x^36+100x^37+192x^38+242x^39+306x^40+514x^41+632x^42+798x^43+1082x^44+1230x^45+1447x^46+1892x^47+2303x^48+3230x^49+4129x^50+5142x^51+6296x^52+6252x^53+6067x^54+5342x^55+4097x^56+3234x^57+2399x^58+1780x^59+1345x^60+1238x^61+1136x^62+840x^63+660x^64+490x^65+301x^66+262x^67+168x^68+92x^69+59x^70+36x^71+33x^72+4x^73+5x^74+2x^75+7x^76+3x^78 The gray image is a code over GF(2) with n=212, k=16 and d=68. This code was found by Heurico 1.16 in 98.7 seconds.