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 2 0 2 0 4 2 2 2 0 4 0 1 1 1 1 0 2 1 1 2 4 0 1 1 0 4 1 1 2 0 1 1 1 2 1 2 1 0 2 0 2 0 0 2 6 0 0 2 6 4 0 6 4 6 4 2 6 2 2 2 0 0 0 6 4 0 2 4 2 0 0 2 0 2 4 0 6 2 2 2 2 4 4 0 2 4 4 4 4 2 0 4 6 2 2 2 6 2 2 2 2 6 6 2 2 0 0 0 2 2 0 6 2 0 0 6 2 0 2 4 2 4 0 6 2 0 6 4 2 4 6 0 0 6 2 4 4 4 6 2 2 2 6 2 6 4 4 2 4 6 6 6 4 4 2 4 0 2 2 2 6 6 4 4 6 6 6 2 6 2 2 4 0 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 4 0 4 0 4 4 4 4 4 0 0 4 4 4 0 0 4 0 0 4 0 4 0 4 4 0 0 0 0 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 4 0 0 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 0 4 4 4 0 4 0 4 0 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 4 0 4 0 0 0 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 0 4 0 4 4 0 0 4 0 0 0 4 4 0 0 0 4 4 0 4 4 0 0 0 0 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 4 4 4 0 4 0 0 0 4 0 0 4 0 4 4 4 0 0 0 4 0 0 4 4 4 0 4 4 4 0 0 4 4 0 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 0 0 4 4 4 0 4 0 4 0 0 0 0 4 0 4 4 4 0 0 4 0 4 4 4 0 4 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 4 4 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 4 0 0 0 0 0 0 4 4 0 4 0 4 4 0 0 4 4 4 0 4 4 0 0 0 0 0 4 0 4 0 4 0 generates a code of length 69 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+70x^56+42x^57+127x^58+160x^59+321x^60+274x^61+463x^62+514x^63+741x^64+920x^65+1031x^66+1344x^67+1302x^68+1640x^69+1413x^70+1438x^71+1105x^72+906x^73+710x^74+496x^75+431x^76+258x^77+240x^78+126x^79+96x^80+52x^81+79x^82+16x^83+24x^84+4x^85+25x^86+2x^87+3x^88+5x^90+2x^92+3x^94 The gray image is a code over GF(2) with n=276, k=14 and d=112. This code was found by Heurico 1.16 in 18.5 seconds.