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 2 1 1 1 1 2 2 2 1 2 1 1 1 1 4 1 1 1 0 2 1 1 2 1 4 1 0 1 1 4 1 1 4 1 1 4 1 2 1 2 1 1 2 1 1 1 2 0 12 0 12 0 12 0 12 0 12 8 4 0 12 0 8 12 4 0 8 0 12 12 4 4 12 8 4 12 4 12 12 12 0 12 0 12 0 12 12 12 12 4 4 12 0 4 12 8 12 8 4 12 0 12 4 12 12 0 8 0 8 12 8 0 0 0 12 4 4 8 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 0 8 0 0 0 8 8 8 0 8 8 0 8 0 8 0 8 0 0 0 8 0 8 0 0 8 8 0 8 0 8 8 8 8 0 0 0 0 8 8 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 0 8 0 8 8 8 8 8 8 8 8 0 8 8 0 8 0 8 8 0 8 0 0 8 0 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 8 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 8 8 0 8 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 8 0 0 0 8 8 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 0 0 8 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 8 0 8 8 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 0 8 8 0 8 8 0 0 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 0 0 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 8 8 0 8 8 0 0 8 0 8 0 0 0 8 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+121x^60+86x^62+381x^64+368x^66+128x^67+1025x^68+384x^69+2864x^70+512x^71+4668x^72+512x^73+2920x^74+384x^75+1028x^76+128x^77+318x^78+306x^80+88x^82+99x^84+12x^86+32x^88+14x^92+4x^96+1x^108 The gray image is a code over GF(2) with n=576, k=14 and d=240. This code was found by Heurico 1.16 in 9.63 seconds.