Prime p₀= 2117054210077653359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2117052550512331261	0 18 30 48 76 82 96 112 186 202 216 222 250 268 280 298	-1659565322098
SPT(16)	2117052632971180903	0 36 40 76 78 88 108 150 274 316 336 346 348 384 388 424	-1577106472456
STPT(10)	2117052869946066707	0 2 30 32 72 74 114 116 144 146	-1340131586652
TPT(14)	2117053029440522141	0 2 66 68 78 80 90 92 126 128 216 218 258 260	-1180637131218
STPT(10)	2117053030278250457	0 2 30 32 42 44 54 56 84 86	-1179799402902
STPT(10)	2117053101616716407	0 2 42 44 72 74 102 104 144 146	-1108460936952
STPT(10)	2117054334544583219	0 2 30 32 60 62 90 92 120 122	124466929860
STPT(10)	2117054665791744221	0 2 6 8 48 50 90 92 96 98	455714090862
SPT(16)	2117054716655243221	0 6 16 90 112 132 156 216 262 322 346 366 388 462 472 478	506577589862
SPT(16)	2117055018033529537	0 22 106 196 210 222 234 250 276 292 304 316 330 420 504 526	807955876178
SPT(16)	2117055020048700503	0 14 36 56 90 104 114 120 170 176 186 200 234 254 276 290	809971047144