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 4 1 1 1 4 1 2 0 4 0 2 4 2 0 0 2 0 2 1 0 2 1 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 4 0 4 4 0 4 4 0 4 0 2 6 6 6 2 6 2 6 2 2 2 6 6 2 0 6 2 0 2 2 4 2 2 2 2 2 2 6 6 4 4 6 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 2 2 2 6 6 2 6 2 6 4 6 4 0 0 0 2 2 0 6 2 4 6 2 0 4 0 2 4 6 6 6 4 2 6 0 2 2 6 4 0 6 4 6 6 2 2 4 0 0 0 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 6 2 2 2 4 4 0 0 4 2 2 2 0 2 6 2 6 4 4 0 0 2 2 6 4 2 0 2 6 2 4 0 2 4 4 2 0 6 6 0 6 6 4 2 2 4 2 0 6 0 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 2 4 2 4 0 0 6 4 6 2 6 0 2 6 4 6 4 0 6 0 4 0 6 0 2 2 6 6 4 2 0 2 2 6 2 2 4 0 2 2 6 4 6 2 0 4 4 4 6 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 4 4 6 4 2 2 2 6 6 6 2 6 6 2 6 2 6 6 6 0 4 0 6 4 0 0 4 6 0 2 4 6 4 2 0 0 4 6 6 6 4 0 6 6 4 0 0 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 6 2 4 4 6 6 6 4 0 6 6 2 6 0 0 0 6 0 4 0 6 4 6 4 2 6 0 6 0 0 4 6 6 2 2 4 0 4 6 4 0 0 4 2 4 6 2 2 4 0 generates a code of length 65 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+92x^52+118x^53+267x^54+306x^55+455x^56+596x^57+687x^58+932x^59+1353x^60+1794x^61+2168x^62+2694x^63+3106x^64+3554x^65+3210x^66+2666x^67+2261x^68+1814x^69+1313x^70+992x^71+692x^72+464x^73+438x^74+238x^75+210x^76+154x^77+99x^78+40x^79+22x^80+18x^81+4x^82+4x^83+5x^86+1x^98 The gray image is a code over GF(2) with n=260, k=15 and d=104. This code was found by Heurico 1.16 in 61.8 seconds.