The generator matrix 1 0 1 1 1 6 1 1 8 1 1 6 1 1 4 14 1 1 0 1 1 1 14 1 1 1 2 1 8 1 1 1 1 6 10 1 1 1 1 10 1 8 1 1 1 6 1 1 1 1 0 1 1 1 1 2 4 1 1 1 1 1 12 1 1 2 4 6 8 1 12 1 1 1 1 1 1 1 8 0 1 11 6 1 1 12 3 1 2 13 1 13 0 1 1 14 3 1 5 6 5 1 11 8 10 1 11 1 0 10 7 4 1 1 5 11 2 1 1 4 1 13 1 4 1 4 15 0 7 1 8 11 7 10 1 1 6 15 12 6 8 1 11 15 12 1 1 1 14 1 7 4 1 15 4 12 11 1 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 8 8 12 12 12 4 12 4 12 12 4 4 12 12 12 12 12 4 12 4 8 12 8 8 12 4 0 0 0 4 8 8 4 8 4 8 8 4 0 4 8 4 0 4 12 12 4 4 12 0 0 12 8 8 12 0 0 0 12 0 0 0 8 0 4 4 4 8 12 12 12 8 4 12 8 4 4 8 12 8 8 8 12 4 4 8 12 0 0 12 8 12 4 8 8 12 0 4 4 8 12 12 4 4 8 12 12 8 0 4 8 8 0 4 0 0 12 4 4 0 12 8 8 4 8 8 4 0 12 4 8 12 4 12 0 0 0 0 4 0 8 8 4 8 0 4 4 12 0 8 4 4 4 8 4 12 4 0 12 0 0 8 12 0 4 12 8 4 0 4 4 12 8 12 12 8 0 0 0 4 8 8 8 12 8 8 12 4 12 4 0 4 12 4 0 8 12 8 8 4 12 8 4 8 4 0 8 4 0 8 4 0 4 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 0 0 0 0 0 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 0 8 8 8 0 0 8 8 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 0 8 8 8 0 generates a code of length 79 over Z16 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+56x^70+196x^71+384x^72+500x^73+1136x^74+1758x^75+2563x^76+3610x^77+4159x^78+4434x^79+3969x^80+3434x^81+2655x^82+1760x^83+1047x^84+468x^85+265x^86+132x^87+61x^88+48x^89+27x^90+34x^91+25x^92+2x^93+18x^94+6x^95+13x^96+2x^97+2x^98+2x^102+1x^108 The gray image is a code over GF(2) with n=632, k=15 and d=280. This code was found by Heurico 1.16 in 18.6 seconds.