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 2 2 1 1 1 2 1 1 2 1 2 1 4 1 0 1 1 4 1 2 1 1 0 1 1 1 4 1 1 2 2 1 1 1 2 2 1 1 1 2 4 1 1 1 0 12 0 12 0 12 0 12 0 12 8 4 0 12 0 8 12 4 0 8 12 4 0 12 12 12 12 0 8 12 0 8 12 12 12 12 12 4 4 0 0 12 8 12 4 0 4 12 12 4 12 8 12 12 12 12 8 8 12 4 0 0 8 12 12 0 12 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 0 0 0 8 8 8 8 8 0 0 8 8 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 0 8 0 0 0 8 8 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 8 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 8 0 8 8 8 0 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 0 8 0 8 8 8 8 0 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 0 0 0 8 8 8 0 0 8 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 8 0 0 0 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 8 8 0 0 0 0 8 0 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 8 0 0 0 8 8 8 8 0 0 8 0 8 0 0 0 8 0 0 8 0 0 0 0 8 8 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 0 0 0 8 8 0 0 0 0 0 8 0 8 8 0 0 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 0 0 8 0 8 0 8 0 0 8 0 8 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+60x^56+8x^57+101x^58+72x^59+178x^60+192x^61+234x^62+368x^63+662x^64+616x^65+2737x^66+792x^67+4420x^68+792x^69+2731x^70+616x^71+641x^72+368x^73+195x^74+192x^75+122x^76+72x^77+94x^78+8x^79+41x^80+35x^82+16x^84+12x^86+3x^88+4x^90+1x^102 The gray image is a code over GF(2) with n=544, k=14 and d=224. This code was found by Heurico 1.16 in 8.82 seconds.