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 1 2 1 1 2 1 2 1 1 1 4 2 0 2 4 1 1 0 1 1 1 1 2 4 2 1 1 1 2 1 1 1 1 2 1 2 2 4 1 1 4 2 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 12 0 0 8 4 12 12 12 4 0 12 8 12 8 12 8 12 12 4 12 12 12 4 4 0 8 0 0 12 12 12 4 0 12 12 12 8 12 4 4 8 8 8 12 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 0 8 0 0 8 8 8 0 0 8 0 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 0 0 0 8 8 0 0 0 0 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 8 8 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 0 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 0 8 0 0 0 8 8 0 0 8 8 0 8 0 0 8 8 8 8 0 0 0 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 8 0 0 0 0 0 0 8 8 8 0 8 0 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 8 0 0 8 0 8 8 8 8 8 8 8 0 8 0 8 0 8 8 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 0 0 0 0 0 8 8 8 0 0 0 0 0 8 8 0 8 0 8 8 0 0 8 0 8 0 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 0 0 8 0 8 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+62x^54+177x^56+281x^58+40x^59+480x^60+120x^61+712x^62+512x^63+1364x^64+1408x^65+5110x^66+2064x^67+8232x^68+1968x^69+5106x^70+1344x^71+1430x^72+576x^73+678x^74+136x^75+436x^76+24x^77+244x^78+122x^80+70x^82+32x^84+20x^86+9x^88+5x^90+4x^92+1x^96 The gray image is a code over GF(2) with n=544, k=15 and d=216. This code was found by Heurico 1.16 in 32.6 seconds.