Prime p₀= 2644056313802524457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: biodoc
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2644054199840787787	0 6 16 60 70 72 82 102 154 174 184 186 196 240 250 256	-2113961736670
SPT(16)	2644054259614930229	0 62 78 92 104 110 114 194 198 278 282 288 300 314 330 392	-2054187594228
SPT(16)	2644054598683357423	0 46 90 106 114 148 204 240 244 280 336 370 378 394 438 484	-1715119167034
STPT(10)	2644054962262002431	0 2 6 8 18 20 30 32 36 38	-1351540522026
SPT(16)	2644055502734259959	0 24 38 42 60 108 122 140 192 210 224 272 290 294 308 332	-811068264498
SPT(16)	2644056176657927641	0 10 70 96 100 172 180 208 210 238 246 318 322 348 408 418	-137144596816
SPT(16)	2644056790954212349	0 28 34 42 58 60 88 102 130 144 172 174 190 198 204 232	477151687892
STPT(10)	2644056993166000829	0 2 18 20 30 32 42 44 60 62	679363476372
SPT(16)	2644057377016004143	0 46 60 150 216 256 270 276 298 304 318 358 424 514 528 574	1063213479686
STPT(10)	2644057422264396947	0 2 54 56 72 74 90 92 144 146	1108461872490
SPT(16)	2644057422602679973	0 18 40 84 94 130 148 204 214 270 288 324 334 378 400 418	1108800155516