Prime p₀= 2356557369374347169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356556243385700579	0 12 48 60 72 82 90 132 220 262 270 280 292 304 340 352	-1125988646590
SPT(16)	2356556568362568287	0 66 92 102 122 156 192 266 270 344 380 414 434 444 470 536	-801011778882
STPT(10)	2356556720303520737	0 2 30 32 72 74 114 116 144 146	-649070826432
STPT(10)	2356556766790706717	0 2 12 14 42 44 72 74 84 86	-602583640452
STPT(10)	2356557265969164161	0 2 36 38 78 80 120 122 156 158	-103405183008
SPT(16)	2356557281944512169	0 40 64 130 154 160 172 178 204 210 222 228 252 318 342 382	-87429835000
STPT(10)	2356557847209983741	0 2 30 32 78 80 126 128 156 158	477835636572
SPT(16)	2356557983806673629	0 42 54 154 168 184 208 220 222 234 258 274 288 388 400 442	614432326460
SPT(18)	2356558391914566817	0 42 60 70 82 84 94 124 126 130 132 162 172 174 186 196 214 256	1022540219648
STPT(10)	2356558544990194211	0 2 6 8 18 20 30 32 36 38	1175615847042
SPT(16)	2356559131859523167	0 24 44 56 66 110 114 134 156 176 180 224 234 246 266 290	1762485175998