Prime p₀= 2339800877425002161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2339799773376954211	0 10 16 30 58 78 82 168 220 306 310 330 358 372 378 388	-1104048047950
STPT(10)	2339799816732781097	0 2 90 92 102 104 114 116 204 206	-1060692221064
SPT(16)	2339800474219984649	0 24 54 164 180 210 228 240 278 290 308 338 354 464 494 518	-403205017512
SPT(16)	2339800496301036277	0 34 40 64 70 82 84 106 150 172 174 186 192 216 222 256	-381123965884
SPT(16)	2339800599008476223	0 6 8 48 104 114 138 146 168 176 200 210 266 306 308 314	-278416525938
SPT(16)	2339800773433681967	0 2 36 62 132 204 224 230 246 252 272 344 414 440 474 476	-103991320194
TPT(14)	2339801124866812559	0 2 42 44 108 110 120 122 138 140 162 164 210 212	247441810398
SPT(16)	2339801210074128637	0 6 40 42 64 82 90 132 154 196 204 222 244 246 280 286	332649126476
TPT(14)	2339801770155037211	0 2 6 8 36 38 48 50 78 80 240 242 336 338	892730035050
STPT(10)	2339802208784400251	0 2 48 50 108 110 168 170 216 218	1331359398090
STPT(10)	2339802244760059967	0 2 30 32 42 44 54 56 84 86	1367335057806