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 1 1 1 1 1 4 4 2 2 2 1 2 1 1 2 2 2 2 4 0 4 4 2 4 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 4 4 6 6 6 6 2 2 6 2 2 2 2 6 4 0 0 2 6 4 0 4 2 2 4 6 0 4 6 0 4 6 4 2 2 2 2 0 4 2 4 0 4 4 0 2 2 2 2 2 4 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 6 2 2 2 2 6 2 4 4 6 4 0 0 2 6 4 6 6 2 0 0 2 2 4 6 4 2 4 4 0 4 4 6 4 2 2 2 6 0 6 6 0 6 0 6 0 0 0 6 0 4 4 0 2 2 4 0 0 0 0 2 0 0 0 2 6 2 4 2 2 0 6 0 0 4 6 2 2 6 4 6 2 4 2 0 6 6 4 0 6 4 4 0 6 0 2 0 2 2 2 4 2 0 2 2 4 6 6 2 2 6 2 4 2 0 6 4 0 4 6 2 2 4 6 2 0 0 0 0 0 2 0 2 2 2 4 4 4 4 6 2 2 0 0 0 0 6 2 2 2 4 2 0 0 6 0 0 4 2 6 6 4 2 2 0 4 4 0 2 4 6 4 6 4 2 6 2 4 4 2 6 6 4 2 0 0 0 2 0 4 2 4 2 2 0 0 0 0 0 0 2 2 0 2 6 2 0 2 4 6 2 6 4 2 4 0 6 0 6 2 2 0 2 2 0 6 0 2 2 4 6 0 2 6 6 0 0 4 4 2 0 0 2 4 4 2 6 4 2 4 2 0 0 0 2 0 4 6 2 4 4 2 2 4 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 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 4 4 4 4 4 0 4 0 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 4 0 4 4 4 4 0 0 0 4 0 4 4 4 0 4 0 0 4 0 4 0 0 4 0 0 4 4 4 4 generates a code of length 69 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+146x^56+502x^58+4x^59+919x^60+28x^61+1403x^62+268x^63+1975x^64+880x^65+3204x^66+1744x^67+4161x^68+2296x^69+4237x^70+1840x^71+3027x^72+848x^73+2190x^74+236x^75+1311x^76+44x^77+789x^78+4x^79+420x^80+200x^82+64x^84+19x^86+6x^88+1x^100+1x^104 The gray image is a code over GF(2) with n=276, k=15 and d=112. This code was found by Heurico 1.16 in 67.5 seconds.