Prime p₀= 2369787921437225657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2369786360676985759	0 10 18 34 78 88 90 124 174 208 210 220 264 280 288 298	-1560760239898
STPT(10)	2369786529594152561	0 2 6 8 48 50 90 92 96 98	-1391843073096
SPT(16)	2369786549880881479	0 10 40 64 78 84 108 148 150 190 214 220 234 258 288 298	-1371556344178
STPT(10)	2369786697630870569	0 2 18 20 30 32 42 44 60 62	-1223806355088
TPT(14)	2369786963254568939	0 2 30 32 42 44 48 50 72 74 210 212 222 224	-958182656718
STPT(10)	2369787463282908839	0 2 42 44 60 62 78 80 120 122	-458154316818
TPT(16)	2369788207960360571	0 2 18 20 138 140 156 158 270 272 336 338 348 350 360 362	286523134914
SPT(16)	2369788643375880613	0 6 54 64 94 96 106 204 220 318 328 330 360 370 418 424	721938654956
SPT(16)	2369788885133023931	0 12 42 78 90 98 126 170 258 302 330 338 350 386 416 428	963695798274
STPT(10)	2369788887682355507	0 2 30 32 42 44 54 56 84 86	966245129850
STPT(10)	2369788988792859377	0 2 72 74 102 104 132 134 204 206	1067355633720