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 2 1 1 2 2 2 4 4 4 0 1 2 1 4 4 2 4 1 1 1 2 1 4 1 2 1 4 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 0 4 4 8 0 4 4 8 4 8 8 12 8 8 0 4 4 0 12 12 8 12 0 8 12 4 12 8 4 4 4 4 4 8 8 12 8 0 4 8 4 12 4 8 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 4 8 4 4 4 0 4 0 4 8 0 4 0 12 12 12 4 4 12 4 4 0 0 8 4 12 8 8 8 4 0 12 8 0 8 12 12 12 8 8 0 12 8 4 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 8 8 8 12 12 4 12 0 0 4 4 4 8 8 0 12 8 12 8 12 8 8 12 4 8 8 4 12 12 0 0 8 8 4 12 4 4 0 4 12 0 12 4 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 4 8 8 0 4 8 12 4 4 4 0 4 8 12 12 8 12 8 0 4 4 8 4 0 0 12 0 4 12 12 4 0 4 0 0 0 12 12 4 12 0 4 0 12 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 0 0 8 0 0 0 8 8 8 0 0 8 0 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 0 0 8 8 8 0 8 0 8 0 0 8 8 8 0 0 0 8 8 0 0 8 8 0 8 0 8 0 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+68x^56+120x^57+200x^58+234x^59+336x^60+388x^61+594x^62+906x^63+1330x^64+2190x^65+3362x^66+4374x^67+4688x^68+4396x^69+3295x^70+2158x^71+1368x^72+874x^73+523x^74+400x^75+326x^76+178x^77+168x^78+112x^79+65x^80+40x^81+42x^82+8x^83+10x^84+6x^85+6x^86+1x^90+1x^102 The gray image is a code over GF(2) with n=544, k=15 and d=224. This code was found by Heurico 1.16 in 29.6 seconds.