Prime p₀= 1231743549632398289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1231741480027126561	0 10 22 48 58 106 108 132 136 160 162 210 220 246 258 268	-2069605271728
SPT(16)	1231742580864034661	0 8 36 38 48 50 78 122 126 170 198 200 210 212 240 248	-968768363628
SPT(16)	1231742595205886567	0 20 42 60 72 114 144 156 170 182 212 254 266 284 306 326	-954426511722
TPT(14)	1231742781304977371	0 2 126 128 138 140 336 338 378 380 390 392 468 470	-768327420918
STPT(10)	1231742805331787249	0 2 48 50 90 92 132 134 180 182	-744300611040
STPT(10)	1231743170913627917	0 2 30 32 42 44 54 56 84 86	-378718770372
SPT(16)	1231743624587803739	0 18 20 60 80 114 140 164 174 198 224 258 278 318 320 338	74955405450
SPT(16)	1231743713353446091	0 28 52 58 142 172 210 222 238 250 288 318 402 408 432 460	163721047802
TPT(14)	1231743935882097107	0 2 42 44 54 56 72 74 114 116 120 122 150 152	386249698818
SPT(16)	1231744002507862817	0 42 72 80 86 102 110 150 212 252 260 276 282 290 320 362	452875464528
STPT(10)	1231744086041925899	0 2 18 20 60 62 102 104 120 122	536409527610