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 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 1 1 4 2 2 2 1 2 2 4 1 1 1 1 2 1 4 4 1 2 2 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 0 8 8 8 0 8 0 8 0 8 0 0 8 8 0 8 0 8 8 0 0 8 8 8 0 8 0 8 8 8 0 0 8 8 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 0 0 8 8 8 8 8 0 8 0 8 8 8 8 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 0 8 8 0 0 8 8 8 8 8 8 0 8 0 0 0 8 0 8 0 0 0 8 8 8 0 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 8 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 8 0 8 0 8 0 0 8 8 0 8 0 8 8 0 8 8 0 8 0 0 0 0 8 0 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 0 8 0 8 0 8 8 0 8 0 8 0 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 8 8 0 8 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 8 0 8 0 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 0 0 0 8 8 0 8 8 8 8 8 8 0 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 0 0 8 generates a code of length 70 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+49x^58+100x^60+127x^62+199x^64+344x^66+753x^68+5150x^70+732x^72+308x^74+144x^76+96x^78+78x^80+44x^82+25x^84+18x^86+13x^88+7x^90+2x^92+1x^94+1x^104 The gray image is a code over GF(2) with n=560, k=13 and d=232. This code was found by Heurico 1.16 in 3.46 seconds.