Prime p₀= 2040562618547876627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Dingo
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2040561204085032971	0 20 72 90 116 206 212 242 306 336 342 432 458 476 528 548	-1414462843656
STPT(10)	2040561906911405747	0 2 72 74 102 104 132 134 204 206	-711636470880
SPT(16)	2040562077656035799	0 8 48 62 90 108 132 134 138 140 164 182 210 224 264 272	-540891840828
STPT(10)	2040562496270153699	0 2 18 20 30 32 42 44 60 62	-122277722928
TPT(14)	2040562597291164251	0 2 6 8 30 32 90 92 156 158 180 182 270 272	-21256712376
SPT(16)	2040562612149597713	0 6 48 50 84 86 90 218 246 374 378 380 414 416 458 464	-6398278914
STPT(10)	2040562863413754527	0 2 12 14 42 44 72 74 84 86	244865877900
TPT(14)	2040562923119351921	0 2 36 38 66 68 78 80 90 92 96 98 180 182	304571475294
SPT(16)	2040563127243705401	0 38 60 68 78 80 126 162 266 302 348 350 360 368 390 428	508695828774
SPT(16)	2040563585833152199	0 40 54 94 172 180 208 234 268 294 322 330 408 448 462 502	967285275572
SPT(16)	2040563676487587653	0 24 50 78 80 146 150 156 188 194 198 264 266 294 320 344	1057939711026