The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X 1 2 1 1 1 1 0 1 1 X+2 1 1 X+2 1 1 2 X 1 1 1 0 0 1 1 1 X+2 1 1 1 X+2 1 1 X 1 1 X+2 2 1 1 1 2 1 X 1 0 X 1 1 1 1 1 1 1 1 0 1 1 1 1 2 1 0 1 X X 1 1 1 1 X+2 1 1 0 1 0 1 X 0 1 1 0 1 2 1 1 1 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 1 0 X+3 2 X+3 1 X+2 1 1 X+2 1 1 0 X+2 1 1 X+1 3 X+1 1 1 3 0 X+2 1 X+3 2 1 1 0 X+2 1 3 X+2 1 1 0 X+1 1 1 X+3 1 X+2 1 1 X+1 X 2 1 X+3 X+3 0 2 1 2 1 0 1 1 0 2 1 1 1 1 X+2 X 2 1 2 X+3 2 X+3 1 X+2 1 X X X+2 0 1 1 0 2 X+2 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 X 2 X X 2 2 X X+2 2 2 0 X+2 0 0 X X 0 2 0 0 0 2 0 0 2 X X X 0 0 X+2 X X 0 2 0 X+2 2 X X 2 X 0 X+2 2 X+2 X X+2 X X X+2 0 2 X 2 X+2 X 0 0 2 X 2 2 0 X 0 2 X+2 0 X X X 0 X 2 X X+2 2 0 X X X X X+2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+111x^86+12x^87+288x^88+136x^89+582x^90+348x^91+873x^92+636x^93+1121x^94+924x^95+1504x^96+1024x^97+1600x^98+1032x^99+1345x^100+904x^101+1055x^102+628x^103+767x^104+344x^105+466x^106+124x^107+248x^108+28x^109+133x^110+4x^111+74x^112+36x^114+13x^116+10x^118+3x^120+4x^122+1x^124+2x^126+3x^128 The gray image is a code over GF(2) with n=392, k=14 and d=172. This code was found by Heurico 1.16 in 26 seconds.