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 2 2 1 4 0 2 0 2 2 0 2 0 1 1 4 0 0 1 4 1 4 1 2 0 1 2 4 1 0 1 2 1 2 1 1 2 2 1 0 2 0 0 0 2 6 2 0 0 0 0 2 2 4 2 6 4 6 0 6 6 4 2 6 4 0 0 2 6 0 4 2 4 4 0 6 4 2 2 2 4 2 0 6 4 0 0 2 4 0 6 0 2 0 2 6 4 2 6 2 6 2 4 0 0 2 4 2 0 0 0 0 0 2 0 2 2 6 0 0 0 2 6 6 6 4 0 0 0 6 2 0 2 2 4 2 4 6 0 2 2 2 6 4 4 2 0 0 2 6 4 0 6 2 2 4 0 6 0 2 2 4 2 2 4 2 4 4 2 6 6 6 0 4 6 6 6 0 2 6 2 0 0 0 0 0 2 2 0 6 2 0 6 2 4 0 2 0 2 0 2 4 6 4 2 0 6 4 2 0 4 2 4 0 2 6 4 0 6 0 2 2 2 0 2 4 0 4 2 6 0 4 6 2 6 4 4 6 6 2 4 6 6 0 2 2 2 4 2 2 2 2 6 6 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 4 0 4 0 4 0 4 0 0 0 0 0 0 4 4 0 0 4 4 0 4 4 4 4 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 0 0 4 4 0 4 0 4 0 0 4 4 4 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 0 0 4 4 0 4 4 4 0 4 0 0 4 0 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 4 0 4 0 0 4 0 0 4 4 0 4 0 0 0 4 4 4 4 0 4 0 0 0 0 4 0 4 4 0 4 0 4 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 0 0 0 4 0 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 4 4 4 4 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+71x^58+92x^59+203x^60+238x^61+397x^62+478x^63+684x^64+804x^65+1143x^66+1546x^67+1824x^68+2214x^69+2453x^70+2890x^71+2775x^72+2700x^73+2542x^74+2170x^75+1853x^76+1690x^77+1176x^78+802x^79+645x^80+460x^81+313x^82+190x^83+171x^84+82x^85+81x^86+22x^87+21x^88+4x^89+9x^90+2x^91+12x^92+5x^94+2x^96+2x^98+1x^100 The gray image is a code over GF(2) with n=288, k=15 and d=116. This code was found by Heurico 1.16 in 71 seconds.