The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 a^6*X 1 0 1 0 1 a a^2 a^6*X+a^3 a^6*X+a^4 a^5 a^6 a^6*X a^6*X+1 X+a X+a^2 1 a^5*X 0 0 1 a^6 a a^4 1 a^5 a^3 a^2 a^3*X+1 a*X+a^5 a^6*X a^5*X+a^2 X+a^6 a^5*X+1 generates a code of length 16 over F8[X]/(X^2) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+49x^96+1792x^98+3360x^99+1960x^100+140x^104+1792x^105+19712x^106+20160x^107+8624x^108+57526x^112+12544x^113+71680x^114+48160x^115+14504x^116+28x^120+112x^128 The gray image is a linear code over GF(8) with n=128, k=6 and d=96. This code was found by Heurico 1.16 in 2.32 seconds.