The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 6 1 1 2 1 1 0 1 1 1 0 1 1 1 6 1 1 6 1 1 6 1 1 1 6 1 0 0 0 1 4 1 1 0 1 1 1 1 4 6 1 1 1 1 1 1 1 4 1 1 4 6 0 0 1 3 6 1 1 0 3 1 6 5 1 1 0 5 1 6 3 1 7 0 1 6 5 5 1 0 6 3 1 3 5 1 0 6 1 3 4 0 1 3 1 1 1 6 1 5 0 1 5 0 3 2 1 1 5 0 3 7 3 4 6 1 1 4 1 1 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 0 0 0 4 4 0 0 0 4 4 0 4 4 4 0 4 0 0 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 0 4 4 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 4 0 4 4 0 4 4 0 0 4 0 4 0 0 4 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 0 0 0 4 4 4 0 4 4 0 4 0 4 4 4 0 4 0 4 0 0 0 4 4 0 4 0 0 0 0 0 0 4 0 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 4 4 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 4 4 0 4 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 0 4 0 4 0 4 4 4 0 4 4 4 0 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 0 4 4 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 4 0 0 0 4 4 4 4 0 0 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 0 0 0 4 0 4 4 4 4 4 0 4 0 0 4 0 0 4 0 0 0 0 4 0 4 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+56x^58+221x^60+56x^61+427x^62+200x^63+769x^64+344x^65+1072x^66+424x^67+1129x^68+424x^69+1064x^70+344x^71+735x^72+200x^73+385x^74+56x^75+181x^76+44x^78+20x^80+14x^82+11x^84+8x^86+3x^88+1x^90+2x^92+1x^94 The gray image is a code over GF(2) with n=272, k=13 and d=116. This code was found by Heurico 1.16 in 3.52 seconds.