Prime p₀= 2396141084804006789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: kashi
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2396139928937520551	0 2 30 32 60 62 90 92 120 122	-1155866486238
SPT(16)	2396140066644192251	0 36 50 56 108 120 138 210 218 290 308 320 372 378 392 428	-1018159814538
STPT(10)	2396140122251945087	0 2 42 44 72 74 102 104 144 146	-962552061702
STPT(10)	2396140691938463537	0 2 12 14 72 74 132 134 144 146	-392865543252
STPT(10)	2396140839476905097	0 2 42 44 192 194 342 344 384 386	-245327101692
SPT(16)	2396141015244906929	0 20 90 108 110 114 140 158 264 282 308 312 314 332 402 422	-69559099860
STPT(10)	2396141215366849031	0 2 6 8 48 50 90 92 96 98	130562842242
SPT(16)	2396141257857724199	0 12 32 84 98 170 180 182 240 242 252 324 338 390 410 422	173053717410
STPT(10)	2396141680345596047	0 2 12 14 72 74 132 134 144 146	595541589258
STPT(10)	2396141866536538577	0 2 30 32 72 74 114 116 144 146	781732531788
SPT(16)	2396141914304580727	0 82 84 96 106 120 124 126 130 132 136 150 160 172 174 256	829500573938