How to find the seed

Hello !

I have this serie :

SEED
2rap
jp5t
1xkf
of07
5yqr
r6bz
9jvm
22t5
13jr
ueq6
3gav
471k
jcwb
k995
yk7x

and I know it's n -> n+1 -> n+2 ... and I will find "the seed".

I try to use Berlekamp–Massey algorithm by converting each character into binary value (2rap = 00110010 01110010 01100001 01110000.

With this site : http://bma.bozhu.me/ , I have :

x^240 + x^238 + x^237 + x^234 + x^233 + x^230 + x^226 + x^225 + x^222 + x^218 + x^216 + x^215 + x^214 + x^212 + x^210 + x^209 + x^205 + x^204 + x^203 + x^201 + x^200 + x^199 + x^196 + x^193 + x^192 + x^189 + x^186 + x^185 + x^183 + x^182 + x^179 + x^178 + x^176 + x^175 + x^174 + x^173 + x^171 + x^167 + x^164 + x^163 + x^162 + x^160 + x^155 + x^154 + x^153 + x^152 + x^146 + x^143 + x^140 + x^139 + x^138 + x^137 + x^135 + x^129 + x^128 + x^127 + x^126 + x^121 + x^116 + x^115 + x^113 + x^111 + x^107 + x^106 + x^105 + x^103 + x^101 + x^100 + x^97 + x^95 + x^92 + x^90 + x^89 + x^88 + x^86 + x^80 + x^78 + x^75 + x^72 + x^70 + x^68 + x^67 + x^65 + x^64 + x^62 + x^60 + x^57 + x^55 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^41 + x^37 + x^36 + x^35 + x^34 + x^32 + x^31 + x^29 + x^28 + x^19 + x^17 + x^13 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^2

My question is : Do you think it's the best way to find the seed ? Am I wrong ? What's next ?

Thank you very much !