Prime p₀= 1274142396664882907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1274141894360836559	0 42 62 78 224 234 308 314 318 324 398 408 554 570 590 632	-502304046348
SPT(16)	1274141899096528993	0 6 24 34 48 70 124 144 160 180 234 256 270 280 298 304	-497568353914
SPT(16)	1274142059063585297	0 26 56 104 120 150 176 180 230 234 260 290 306 354 384 410	-337601297610
STPT(10)	1274142089321904599	0 2 18 20 30 32 42 44 60 62	-307342978308
SPT(16)	1274142216282349861	0 18 30 72 100 130 142 156 172 186 198 228 256 298 310 328	-180382533046
STPT(12)	1274142299488153619	0 2 18 20 102 104 108 110 192 194 210 212	-97176729288
STPT(10)	1274142414179174117	0 2 30 32 42 44 54 56 84 86	17514291210
STPT(10)	1274142627599704697	0 2 72 74 102 104 132 134 204 206	230934821790
SPT(16)	1274142682325409847	0 34 46 84 96 130 136 172 174 210 216 250 262 300 312 346	285660526940
SPT(16)	1274143105552644829	0 10 12 34 52 54 78 82 90 94 118 120 138 160 162 172	708887761922
SPT(16)	1274143220934439343	0 50 54 56 104 126 174 224 270 320 368 390 438 440 444 494	824269556436