Prime p₀= 2322977705416051391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 100 2 100 2 34 2 (?)
a_n: 0 2 36 38 138 140 240 242 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 34 2 100 2

SPT(16)	2322976166335028521	0 10 28 42 58 100 102 118 210 226 228 270 286 300 318 328	-1539081022870
STPT(10)	2322976249904180411	0 2 30 32 78 80 126 128 156 158	-1455511870980
SPT(16)	2322976828018381589	0 38 60 84 90 104 108 110 222 224 228 242 248 272 294 332	-877397669802
SPT(16)	2322977197838107597	0 10 34 52 94 100 120 132 262 274 294 300 342 360 384 394	-507577943794
SPT(16)	2322977378666624803	0 30 48 60 70 78 96 118 168 190 208 216 226 238 256 286	-326749426588
SPT(16)	2322977579774287433	0 26 96 156 180 236 264 294 356 386 414 470 494 554 624 650	-125641763958
SPT(16)	2322977735300453809	0 4 34 40 54 78 88 90 118 120 130 154 168 174 204 208	29884402418
STPT(10)	2322977938800521207	0 2 30 32 102 104 174 176 204 206	233384469816
SPT(16)	2322978056149004993	0 56 60 84 116 128 186 198 266 278 336 348 380 404 408 464	350732953602
STPT(10)	2322978409782292781	0 2 30 32 78 80 126 128 156 158	704366241390
STPT(10)	2322978411595187807	0 2 24 26 42 44 60 62 84 86	706179136416