The generator matrix 1 0 0 1 1 1 6 1 1 1 1 4 0 0 2 0 2 4 1 1 2 1 1 1 1 1 4 1 2 2 2 4 4 0 1 1 1 1 4 4 0 2 0 1 1 0 2 1 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 0 2 1 1 5 4 1 0 2 7 1 0 1 7 6 6 2 4 2 0 4 1 2 3 2 2 1 0 1 2 0 1 1 0 4 4 0 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 1 1 2 5 0 3 2 5 2 7 4 2 3 3 6 2 0 0 6 0 2 7 7 2 6 1 2 2 1 3 3 5 0 1 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 0 0 6 4 0 2 0 2 0 6 0 6 4 4 6 2 6 6 4 6 6 6 0 4 0 0 2 0 6 2 4 6 2 2 6 6 4 4 4 4 6 4 2 6 4 6 0 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 0 4 2 6 0 2 4 2 4 4 6 4 2 6 6 6 6 0 2 4 0 0 6 4 6 2 2 0 2 0 0 2 2 0 4 2 6 4 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 6 2 6 2 0 2 4 4 2 4 4 0 0 6 0 4 6 4 6 0 6 2 6 2 2 2 6 6 4 2 2 4 4 0 4 4 2 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 0 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 4 0 0 4 4 4 4 0 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 69 over Z8 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+16x^39+22x^40+52x^41+62x^42+124x^43+225x^44+300x^45+372x^46+464x^47+619x^48+660x^49+747x^50+792x^51+753x^52+754x^53+634x^54+508x^55+366x^56+244x^57+257x^58+280x^59+393x^60+586x^61+933x^62+1454x^63+1978x^64+2882x^65+3828x^66+4728x^67+5235x^68+5156x^69+5127x^70+4562x^71+3790x^72+3052x^73+2082x^74+1376x^75+937x^76+536x^77+341x^78+306x^79+258x^80+282x^81+402x^82+508x^83+620x^84+660x^85+764x^86+798x^87+703x^88+788x^89+626x^90+464x^91+391x^92+258x^93+177x^94+116x^95+83x^96+40x^97+24x^98+16x^99+9x^100+6x^101+8x^102+1x^108 The gray image is a code over GF(2) with n=276, k=16 and d=78. This code was found by Heurico 1.16 in 98.2 seconds.