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 0 X 1 1 1 X 2 1 X 0 1 1 X 1 0 X 1 1 0 1 1 X 2 1 1 1 1 0 1 1 1 X 1 1 1 1 1 X 0 1 0 1 1 X 1 1 1 X 1 X 1 0 2 2 1 1 1 X 1 X X 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 2 X X X+2 0 X 0 2 X+2 0 X+2 X 0 0 X X 2 X X+2 X 2 X+2 2 0 X X+2 X 2 2 X X 0 X 0 0 X+2 2 2 0 X X X 2 0 X 0 X X X+2 X X+2 X X X+2 X+2 X 2 0 X+2 0 2 X+2 X X+2 X 0 X 0 0 X+2 0 X+2 2 X+2 2 X 2 X 0 2 2 X+2 X+2 X+2 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X X+2 2 0 0 X 0 X X+2 X+2 2 X+2 X 2 2 X+2 X 2 X X 0 0 X 0 0 2 0 0 X+2 X+2 X 2 X+2 X X+2 X+2 X 0 X X+2 X X+2 X 0 X+2 X+2 X+2 0 2 X+2 2 0 X+2 X 0 X X X X+2 0 0 X 0 X+2 2 X 0 X+2 0 2 0 2 2 X X 0 X X X+2 X+2 2 2 X 2 X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 0 generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+32x^86+38x^87+111x^88+88x^89+172x^90+248x^91+291x^92+300x^93+369x^94+450x^95+564x^96+618x^97+598x^98+688x^99+533x^100+614x^101+539x^102+386x^103+355x^104+310x^105+185x^106+176x^107+111x^108+88x^109+100x^110+54x^111+56x^112+22x^113+40x^114+8x^115+15x^116+6x^117+7x^118+8x^120+2x^121+3x^122+2x^124+1x^126+1x^128+1x^130+1x^146 The gray image is a code over GF(2) with n=396, k=13 and d=172. This code was found by Heurico 1.16 in 11.3 seconds.