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 X 0 X 0 0 1 1 1 1 X 1 1 1 1 1 X 1 1 1 0 1 1 X 0 1 1 1 1 1 X 0 X 1 1 0 1 1 1 1 X 0 1 X 0 1 1 2 1 1 2 1 X X 1 1 1 1 1 X X 1 X X 1 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X 0 0 2 X+2 X+2 0 2 2 2 X X+2 X+2 X+2 X+2 X X+2 X X 0 0 X+2 X+2 X+2 X X X X X X+2 0 2 2 X 2 X X+2 X 2 2 2 2 X X+2 X X+2 2 X X X+2 X X+2 X+2 X+2 X X X+2 X 2 0 X 0 X+2 0 0 X 0 2 2 0 X X+2 X+2 X 0 X+2 X+2 X+2 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 0 0 2 0 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 generates a code of length 98 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+50x^84+8x^85+64x^86+52x^87+208x^88+126x^89+209x^90+216x^91+279x^92+368x^93+481x^94+558x^95+519x^96+724x^97+563x^98+744x^99+587x^100+544x^101+387x^102+344x^103+254x^104+222x^105+196x^106+112x^107+93x^108+56x^109+74x^110+22x^111+32x^112+44x^114+15x^116+17x^118+10x^120+11x^122+1x^130+1x^142 The gray image is a code over GF(2) with n=392, k=13 and d=168. This code was found by Heurico 1.16 in 11.8 seconds.