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 2 2 1 2 1 1 1 2 1 2 4 2 1 1 0 1 2 1 1 4 1 0 2 1 4 2 1 0 4 1 1 1 1 2 2 1 2 1 2 1 0 2 4 1 2 1 1 1 1 1 1 2 1 1 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 12 4 8 12 12 4 0 0 8 0 0 12 12 8 4 0 12 12 0 12 8 12 0 12 12 12 12 12 0 12 4 8 12 12 4 12 8 4 4 8 12 12 12 4 12 0 4 8 4 12 12 4 4 12 12 12 4 4 12 0 12 4 12 4 12 0 4 0 12 12 0 12 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 0 0 0 8 0 8 0 8 0 8 8 8 8 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 0 0 0 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 8 8 8 8 0 0 8 8 0 0 0 0 8 0 0 0 8 0 0 8 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 0 8 0 8 8 8 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 0 8 0 0 0 8 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 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 8 8 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 0 0 8 8 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 0 8 0 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 8 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 0 8 0 8 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 8 8 8 0 0 8 8 8 0 8 8 0 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 8 8 8 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 8 8 8 0 0 0 0 0 0 8 8 8 0 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 0 8 0 0 0 8 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 0 0 generates a code of length 87 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+123x^72+36x^74+453x^76+334x^78+1005x^80+1516x^82+512x^83+3577x^84+2048x^85+5242x^86+3072x^87+5458x^88+2048x^89+3292x^90+512x^91+1791x^92+722x^94+571x^96+116x^98+198x^100+6x^102+91x^104+27x^108+15x^112+1x^116+1x^124 The gray image is a code over GF(2) with n=696, k=15 and d=288. This code was found by Heurico 1.16 in 45.5 seconds.