The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 2 4 2 2 0 1 2 2 1 1 1 1 2 1 2 2 2 4 2 4 2 1 1 0 1 1 0 2 1 1 4 0 1 2 1 1 1 2 0 2 0 0 0 0 0 0 0 0 4 2 6 2 4 0 2 2 2 2 0 6 6 6 6 6 0 4 2 6 2 4 0 6 2 4 0 4 0 2 2 2 6 2 0 4 4 2 4 0 0 4 4 0 0 4 6 2 2 2 0 6 4 2 6 6 2 2 4 2 2 2 4 2 0 4 6 6 0 0 2 0 0 0 0 0 0 0 6 4 2 2 2 2 2 6 4 0 6 4 6 0 2 0 6 6 4 6 6 6 2 0 0 4 6 0 4 2 0 6 2 4 4 0 4 4 2 2 0 2 6 2 4 4 6 6 2 0 4 6 0 0 0 4 4 2 2 2 6 4 4 4 0 6 2 4 0 0 0 2 0 0 4 6 2 2 2 6 4 2 2 0 0 6 2 0 4 4 6 2 0 4 2 2 6 4 2 0 0 0 6 6 0 4 0 0 6 2 4 2 2 0 4 4 6 6 0 2 2 0 6 0 0 2 4 2 4 6 2 4 0 2 0 2 2 4 0 4 4 0 6 0 2 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 4 0 2 6 2 6 2 4 0 6 2 6 6 2 4 0 6 2 2 6 4 4 0 4 2 6 0 0 6 4 6 2 6 6 2 6 2 0 6 4 4 2 6 0 6 2 2 0 6 2 0 6 0 4 4 0 2 2 6 4 4 4 2 2 0 0 0 0 0 2 2 4 6 2 0 0 0 0 6 2 6 6 4 0 2 2 2 6 0 2 2 4 2 6 0 4 2 2 2 4 4 0 4 6 4 6 0 2 6 6 6 2 2 4 4 4 2 4 2 6 2 2 4 2 2 6 4 4 6 2 0 6 4 6 6 0 0 4 2 2 6 2 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+161x^68+16x^69+424x^70+76x^71+592x^72+204x^73+674x^74+348x^75+895x^76+364x^77+884x^78+372x^79+816x^80+388x^81+636x^82+212x^83+441x^84+52x^85+268x^86+16x^87+162x^88+106x^90+60x^92+16x^94+5x^96+2x^100+1x^108 The gray image is a code over GF(2) with n=312, k=13 and d=136. This code was found by Heurico 1.16 in 5.59 seconds.