The generator matrix 1 0 0 1 1 1 2 1 1 2 1 6 1 6 1 1 4 1 6 1 4 2 1 4 1 1 1 1 2 2 2 1 6 1 0 1 1 1 1 1 2 4 1 1 1 2 1 1 1 4 1 1 1 2 0 1 1 1 4 1 4 2 2 0 1 6 6 6 2 2 1 1 0 1 0 0 1 3 1 6 7 1 4 0 3 1 4 1 1 6 1 3 0 1 6 1 6 5 4 7 1 6 1 5 1 3 1 2 2 4 6 1 1 1 4 5 4 6 6 6 6 4 7 1 5 1 1 0 6 2 1 1 1 2 4 1 5 1 1 2 2 1 0 3 0 0 1 1 3 0 1 1 7 6 2 1 2 3 0 1 4 2 7 0 1 4 5 3 3 3 7 2 6 1 4 6 1 7 2 6 7 4 1 2 1 5 2 7 1 1 4 4 3 1 5 6 7 7 6 4 5 7 4 2 1 1 1 0 4 2 1 1 1 4 0 0 0 0 0 2 2 6 0 6 6 0 4 4 6 0 6 0 2 6 6 4 2 2 0 6 4 4 6 4 2 2 0 6 6 0 4 0 6 4 0 0 4 2 2 2 4 2 2 0 4 0 6 6 4 2 2 0 6 6 0 0 0 2 0 6 6 0 6 4 6 2 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 4 0 0 0 4 4 0 4 4 0 0 4 4 0 0 4 0 4 0 4 4 0 0 0 4 0 4 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 0 0 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 4 0 4 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 0 0 4 4 0 0 4 4 0 4 0 4 4 4 0 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 4 0 4 4 0 4 4 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 0 4 4 0 0 0 0 4 4 0 0 4 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+44x^61+200x^62+306x^63+619x^64+842x^65+1419x^66+1344x^67+2266x^68+2046x^69+2963x^70+2538x^71+3604x^72+2638x^73+3009x^74+2186x^75+2160x^76+1314x^77+1298x^78+684x^79+608x^80+256x^81+169x^82+90x^83+75x^84+28x^85+27x^86+16x^87+8x^88+3x^90+4x^91+2x^92+1x^100 The gray image is a code over GF(2) with n=288, k=15 and d=122. This code was found by Heurico 1.16 in 42.5 seconds.