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 1 1 1 1 2 1 0 2 0 2 0 1 2 2 2 2 4 1 2 4 2 0 1 4 2 1 2 4 1 1 1 1 2 0 0 1 1 1 2 0 2 0 0 0 0 0 0 0 0 0 4 4 6 2 2 2 2 2 6 4 2 6 2 4 0 6 6 6 6 6 4 2 2 2 6 0 6 0 4 2 2 6 2 2 0 2 2 0 4 4 2 0 4 6 2 0 0 6 2 6 2 6 2 6 4 6 2 4 2 4 6 4 4 2 0 0 4 6 0 0 2 0 0 0 0 0 0 0 2 2 6 0 6 2 6 4 4 6 6 0 4 6 6 6 6 4 6 2 0 6 2 4 6 4 6 0 4 4 2 6 0 4 4 0 0 4 4 0 2 0 2 4 4 2 2 4 2 6 4 2 6 2 2 0 2 0 2 2 2 4 4 4 2 6 6 2 4 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 4 2 4 0 6 6 2 4 4 4 2 0 2 2 0 6 4 0 0 6 6 2 6 6 2 6 4 0 0 4 2 6 2 0 2 0 2 2 2 4 6 0 4 0 2 4 6 6 6 6 6 2 0 6 4 0 6 2 2 4 4 4 2 4 0 0 0 0 2 0 2 2 2 4 4 0 0 0 4 4 0 0 2 6 6 6 6 2 6 2 0 6 6 6 4 2 0 4 0 6 6 0 4 4 4 2 0 6 2 6 6 0 2 2 0 0 0 4 2 0 2 6 0 4 2 4 2 6 6 4 6 2 4 0 6 0 0 4 0 4 2 0 2 0 0 0 0 0 2 2 4 6 2 4 2 2 6 0 2 6 2 2 6 2 2 0 6 6 4 4 0 4 0 0 0 0 6 0 6 6 4 6 4 2 2 4 6 0 4 0 4 4 2 4 2 0 2 2 6 4 0 0 0 0 2 2 2 0 2 0 4 4 0 2 0 0 0 4 4 2 2 2 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 4 0 4 4 4 4 0 0 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 0 0 4 0 4 0 0 4 4 generates a code of length 79 over Z8 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+76x^67+167x^68+216x^69+315x^70+440x^71+415x^72+546x^73+777x^74+938x^75+1060x^76+1210x^77+1387x^78+1416x^79+1431x^80+1182x^81+1025x^82+964x^83+732x^84+538x^85+420x^86+332x^87+212x^88+152x^89+142x^90+106x^91+69x^92+52x^93+26x^94+12x^95+8x^96+8x^97+4x^98+4x^99+1x^112 The gray image is a code over GF(2) with n=316, k=14 and d=134. This code was found by Heurico 1.16 in 21.7 seconds.