The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a a^6*X+a^6 0 a^6*X+1 a^6*X+a^2 a^5 a^6*X+1 0 0 0 a^6*X 0 X X a^3*X X a^3*X 0 a^4*X a^5*X a^2*X a^3*X a^2*X 0 0 0 0 X a^6*X a^5*X a^3*X a^2*X a^6*X a^2*X a^3*X a^2*X a^6*X a*X a^2*X a*X generates a code of length 16 over F8[X]/(X^2) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+98x^88+112x^91+560x^96+1344x^98+2352x^99+756x^104+14336x^105+18816x^106+16464x^107+952x^112+100352x^113+65856x^114+38416x^115+1274x^120+455x^128 The gray image is a linear code over GF(8) with n=128, k=6 and d=88. This code was found by Heurico 1.16 in 2.66 seconds.