The generator matrix 1 0 0 1 1 1 6 1 1 1 1 4 0 0 1 1 2 1 6 1 6 1 2 6 6 4 2 6 1 2 4 2 1 1 1 2 1 1 1 4 0 4 2 1 1 1 6 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 0 1 1 4 2 5 3 2 1 1 1 6 1 6 0 6 1 1 1 2 1 2 1 0 6 1 6 2 4 7 6 0 3 1 3 2 2 2 4 7 2 1 4 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 1 3 2 1 1 0 2 0 1 1 1 2 0 7 1 1 4 2 1 1 2 4 1 1 6 1 0 4 3 4 4 2 0 4 0 0 5 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 6 4 0 2 0 2 0 0 6 6 4 2 0 2 2 2 6 4 0 2 6 2 6 6 4 4 6 4 4 0 2 2 4 2 4 0 2 4 2 2 4 4 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 0 4 0 6 2 2 6 4 4 0 6 0 6 2 2 4 2 0 0 2 2 4 6 2 2 2 0 6 6 0 6 6 0 0 6 6 2 6 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 2 6 2 0 6 6 4 4 2 4 2 4 0 2 4 2 0 0 2 6 2 0 0 6 6 4 0 2 0 2 0 4 2 0 6 6 2 6 4 4 0 4 2 6 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 0 4 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 0 4 0 4 0 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+44x^39+68x^40+94x^41+198x^42+248x^43+355x^44+470x^45+582x^46+806x^47+847x^48+828x^49+831x^50+690x^51+590x^52+534x^53+378x^54+258x^55+192x^56+160x^57+185x^58+294x^59+555x^60+826x^61+1374x^62+1968x^63+2934x^64+3894x^65+4543x^66+5260x^67+5496x^68+5280x^69+4542x^70+3792x^71+3008x^72+2178x^73+1303x^74+774x^75+536x^76+240x^77+224x^78+148x^79+176x^80+236x^81+361x^82+442x^83+613x^84+752x^85+861x^86+996x^87+824x^88+778x^89+560x^90+414x^91+370x^92+210x^93+150x^94+108x^95+68x^96+32x^97+35x^98+14x^99+5x^100+1x^102+2x^104 The gray image is a code over GF(2) with n=272, k=16 and d=78. This code was found by Heurico 1.16 in 97.7 seconds.