Prime p₀= 2116997012973676079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=10, 2 28 2 88 2

SPT(16)	2116995458632224637	0 4 22 34 90 96 124 172 294 342 370 376 432 444 462 466	-1554341451442
SPT(16)	2116995532566583169	0 20 54 72 78 92 120 134 138 152 180 194 200 218 252 272	-1480407092910
STPT(10)	2116995613060156187	0 2 60 62 72 74 84 86 144 146	-1399913519892
SPT(16)	2116995799186195841	0 56 60 62 72 92 102 110 162 170 180 200 210 212 216 272	-1213787480238
SPT(16)	2116996061373068101	0 6 30 42 52 66 90 108 220 238 262 276 286 298 322 328	-951600607978
STPT(10)	2116996247108015417	0 2 42 44 72 74 102 104 144 146	-765865660662
SPT(16)	2116997658429072889	0 10 18 28 70 100 108 120 262 274 282 312 354 364 372 382	645455396810
SPT(16)	2116998051436798319	0 72 140 170 174 182 188 234 248 294 300 308 312 342 410 482	1038463122240
SPT(16)	2116998365097582713	0 26 36 38 48 84 104 138 146 180 200 236 246 248 258 284	1352123906634
STPT(10)	2116998800012606591	0 2 6 8 48 50 90 92 96 98	1787038930512
SPT(16)	2116999310255924683	0 36 40 46 94 144 150 154 306 310 316 366 414 420 424 460	2297282248604