Prime p₀= 2259027910564526219 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2259026527430727917	0 2 30 32 42 44 90 92 102 104 132 134	-1383133798302
SPT(16)	2259026555892774457	0 34 72 82 130 132 154 160 234 240 262 264 312 322 360 394	-1354671751762
STPT(10)	2259026987766563657	0 2 24 26 42 44 60 62 84 86	-922797962562
STPT(10)	2259027374500373171	0 2 30 32 60 62 90 92 120 122	-536064153048
SPT(16)	2259027733903874191	0 18 30 48 60 76 90 118 150 178 192 208 220 238 250 268	-176660652028
SPT(16)	2259027811107030641	0 12 86 108 126 140 150 152 186 188 198 212 230 252 326 338	-99457495578
TPT(14)	2259028060521879389	0 2 72 74 150 152 210 212 222 224 252 254 330 332	149957353170
TPT(14)	2259028200162678311	0 2 6 8 48 50 96 98 120 122 288 290 360 362	289598152092
SPT(16)	2259028375390886431	0 12 48 78 112 150 178 190 210 222 250 288 322 352 388 400	464826360212
SPT(16)	2259028518971956439	0 12 44 78 134 210 212 252 380 420 422 498 554 588 620 632	608407430220
STPT(10)	2259028572761312237	0 2 54 56 72 74 90 92 144 146	662196786018