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 8 1 2 8 1 2 1 1 1 0 2 2 1 4 1 1 1 4 0 1 1 1 2 12 1 2 1 0 1 4 1 1 2 1 12 2 1 4 2 1 4 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 2 0 14 0 14 4 8 10 14 2 2 6 2 12 14 2 0 14 2 10 10 2 2 14 4 10 2 2 12 8 8 14 2 4 6 6 2 6 4 12 12 10 10 2 4 2 4 0 6 0 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 4 0 4 12 8 8 12 8 12 4 12 0 8 0 4 0 12 12 8 4 12 8 8 12 12 12 0 0 0 8 0 12 8 4 0 12 12 4 8 0 12 8 12 0 12 12 8 12 12 12 8 0 0 0 12 0 0 0 4 12 4 12 8 4 8 12 4 8 8 0 0 8 12 4 4 8 0 4 0 4 8 12 4 12 12 12 12 8 12 8 4 8 12 4 0 12 12 0 4 12 8 12 12 12 0 4 12 8 12 0 8 4 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 0 0 8 8 0 8 0 0 0 8 0 8 0 0 8 0 0 8 0 0 0 8 8 8 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 0 8 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 8 8 8 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 0 8 0 8 8 8 8 0 8 0 0 8 0 0 8 0 8 0 8 0 0 8 0 0 8 0 0 8 8 0 8 8 8 8 8 0 8 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 0 0 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 generates a code of length 66 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+142x^56+88x^57+481x^58+244x^59+909x^60+844x^61+1890x^62+2132x^63+3563x^64+3804x^65+4535x^66+3900x^67+3665x^68+2180x^69+1811x^70+828x^71+747x^72+252x^73+412x^74+64x^75+167x^76+72x^78+18x^80+11x^82+3x^84+3x^86+1x^88+1x^90 The gray image is a code over GF(2) with n=528, k=15 and d=224. This code was found by Heurico 1.16 in 23.4 seconds.