Prime p₀= 2337071240721088757 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2337069835935366107	0 14 20 30 72 80 90 92 162 164 174 182 224 234 240 254	-1404785722650
SPT(16)	2337069985397569909	0 22 60 84 90 112 138 148 264 274 300 322 328 352 390 412	-1255323518848
SPT(16)	2337070376202866149	0 40 54 82 84 88 102 112 150 160 174 178 180 208 222 262	-864518222608
SPT(16)	2337070474513442821	0 28 60 66 108 126 138 208 240 310 322 340 382 388 420 448	-766207645936
STPT(10)	2337071093012368367	0 2 54 56 72 74 90 92 144 146	-147708720390
STPT(10)	2337071114384371007	0 2 24 26 42 44 60 62 84 86	-126336717750
SPT(18)	2337071289745032469	0 10 24 72 154 178 184 192 214 348 370 378 384 408 490 538 552 562	49023943712
STPT(10)	2337071718359109857	0 2 30 32 72 74 114 116 144 146	477638021100
TPT(14)	2337072096915509957	0 2 42 44 90 92 210 212 222 224 330 332 342 344	856194421200
STPT(10)	2337073000064622299	0 2 18 20 30 32 42 44 60 62	1759343533542
SPT(16)	2337073087010069053	0 24 28 60 78 90 94 150 214 270 274 286 304 336 340 364	1846288980296