Prime p₀= 2378974497706781069 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

STPT(10)	2378972741219945501	0 2 36 38 78 80 120 122 156 158	-1756486835568
SPT(16)	2378972748374285783	0 14 48 54 56 80 98 114 140 156 174 198 200 206 240 254	-1749332495286
SPT(18)	2378973360403406827	0 16 34 36 42 100 102 120 130 186 196 214 216 274 280 282 300 316	-1137303374242
STPT(10)	2378973447767377169	0 2 42 44 60 62 78 80 120 122	-1049939403900
SPT(16)	2378973935574273559	0 22 58 60 78 88 100 162 250 312 324 334 352 354 390 412	-562132507510
STPT(10)	2378974036319538569	0 2 18 20 30 32 42 44 60 62	-461387242500
SPT(16)	2378975678763560641	0 22 42 70 102 120 136 142 156 162 178 196 228 256 276 298	1181056779572
STPT(10)	2378976090064611857	0 2 30 32 120 122 210 212 240 242	1592357830788
STPT(10)	2378976395729540639	0 2 48 50 90 92 132 134 180 182	1898022759570
SPT(16)	2378976564438457847	0 6 12 26 84 92 110 162 194 246 264 272 330 344 350 356	2066731676778
SPT(16)	2378976635573295601	0 22 28 42 60 132 232 246 292 306 406 478 496 510 516 538	2137866514532