Prime p₀= 2688170812336751057 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: conf [MM]
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2688168712142721113	0 38 48 50 120 224 230 234 260 264 270 374 444 446 456 494	-2100194029944
TPT(14)	2688169251128285849	0 2 72 74 222 224 378 380 408 410 462 464 498 500	-1561208465208
STPT(10)	2688169260136291829	0 2 42 44 60 62 78 80 120 122	-1552200459228
TPT(14)	2688169428587770739	0 2 42 44 78 80 108 110 162 164 210 212 252 254	-1383748980318
SPT(16)	2688170294421079771	0 10 30 58 66 88 108 136 162 190 210 232 240 268 288 298	-517915671286
SPT(16)	2688170495018320027	0 22 24 30 144 160 202 234 280 312 354 370 484 490 492 514	-317318431030
SPT(16)	2688171011764682867	0 44 62 126 132 134 140 180 206 246 252 254 260 324 342 386	199427931810
STPT(10)	2688171047964367331	0 2 36 38 78 80 120 122 156 158	235627616274
TPT(14)	2688171218278481321	0 2 78 80 126 128 138 140 150 152 156 158 306 308	405941730264
SPT(16)	2688171560265426559	0 10 18 42 84 100 154 168 214 228 282 298 340 364 372 382	747928675502
SPT(16)	2688171585884417359	0 28 52 82 100 108 112 138 154 180 184 192 210 240 264 292	773547666302