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 1 1 2 0 0 0 4 1 2 4 1 2 1 0 0 1 4 4 4 1 1 1 1 2 2 0 1 1 0 1 1 1 2 0 1 2 4 1 2 1 0 2 0 0 0 0 0 0 0 2 2 6 2 2 4 4 0 2 0 2 4 4 2 4 6 4 2 6 6 2 4 0 2 2 4 4 4 6 6 6 6 4 2 4 4 2 2 2 2 0 4 2 2 0 0 4 2 6 6 4 4 6 0 0 2 4 2 0 2 4 0 2 0 2 2 2 0 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 4 6 4 6 0 0 6 2 6 4 0 0 6 6 0 0 2 4 0 4 6 6 0 4 6 6 2 2 4 0 4 6 4 2 6 6 4 4 2 6 2 0 0 0 2 4 6 6 0 0 2 6 4 0 0 6 6 4 2 6 6 6 2 0 0 0 0 2 0 2 2 2 4 4 4 4 6 2 6 2 0 2 4 6 0 4 4 6 2 0 2 2 0 0 6 0 2 4 4 2 4 2 6 4 4 4 4 2 2 0 2 4 2 6 6 6 0 0 2 4 0 2 2 6 2 0 2 4 4 6 6 0 4 4 4 2 6 0 6 2 0 0 0 0 0 0 2 2 0 2 6 2 0 2 4 2 6 0 4 0 2 2 4 6 4 0 0 2 0 6 6 2 4 6 6 4 0 6 4 4 4 2 6 0 0 4 6 4 0 4 0 2 4 6 6 2 4 2 2 2 2 4 4 0 2 2 2 6 0 6 2 4 4 2 6 6 0 4 2 2 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 0 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 4 4 0 4 4 4 4 4 4 0 4 0 0 0 4 0 4 4 0 4 0 4 0 4 0 0 4 0 0 4 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 0 4 4 4 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 0 4 0 4 0 4 4 0 0 0 0 4 0 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+207x^68+16x^69+360x^70+80x^71+605x^72+104x^73+648x^74+336x^75+890x^76+504x^77+962x^78+448x^79+795x^80+344x^81+584x^82+144x^83+459x^84+56x^85+276x^86+16x^87+189x^88+96x^90+44x^92+18x^94+9x^96+1x^112 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 5.84 seconds.