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 1 1 1 1 1 1 1 4 1 2 1 1 1 0 1 1 4 1 1 0 2 1 1 2 1 2 2 1 1 4 4 4 2 2 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 0 8 8 0 8 12 12 12 4 12 12 8 0 0 12 4 4 12 4 0 0 12 0 12 12 12 12 4 12 4 0 8 4 12 4 12 0 12 4 12 0 8 12 12 12 8 0 12 12 12 12 8 12 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 8 8 8 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 0 8 8 8 8 0 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 8 0 8 8 8 0 8 8 8 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 0 0 8 0 8 0 8 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 0 8 8 8 0 8 8 0 8 0 8 0 0 8 0 8 0 8 0 8 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 8 0 0 8 8 8 8 8 0 8 8 8 8 8 8 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 0 0 8 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 0 8 0 8 8 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 0 0 8 0 0 8 8 8 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+59x^58+4x^59+164x^60+20x^61+207x^62+192x^63+244x^64+672x^65+782x^66+1160x^67+1283x^68+1160x^69+750x^70+672x^71+196x^72+192x^73+185x^74+20x^75+109x^76+4x^77+43x^78+37x^80+12x^82+10x^84+8x^86+2x^88+2x^90+1x^92+1x^100 The gray image is a code over GF(2) with n=544, k=13 and d=232. This code was found by Heurico 1.16 in 2.36 seconds.