Prime p₀= 2570423327441391839 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=82, k=10, 2 16 2 10 2

STPT(10)	2570421302247768881	0 2 6 8 18 20 30 32 36 38	-2025193622958
TPT(14)	2570421660154170629	0 2 48 50 78 80 102 104 120 122 240 242 252 254	-1667287221210
TPT(14)	2570422261707279767	0 2 30 32 84 86 132 134 144 146 240 242 300 302	-1065734112072
SPT(16)	2570422316956262891	0 6 20 26 38 66 68 72 146 150 152 180 192 198 212 218	-1010485128948
TPT(14)	2570422962037451867	0 2 24 26 132 134 150 152 162 164 294 296 342 344	-365403939972
SPT(16)	2570423152498590877	0 4 24 90 120 192 222 232 234 244 274 346 376 442 462 466	-174942800962
SPT(16)	2570423485539152213	0 14 66 104 126 150 174 180 230 236 260 284 306 344 396 410	158097760374
SPT(16)	2570423530817066801	0 6 18 32 60 62 66 92 216 242 246 248 276 290 302 308	203375674962
SPT(16)	2570423666840621609	0 30 42 90 120 128 180 240 272 332 384 392 422 470 482 512	339399229770
SPT(16)	2570424206110778279	0 20 38 54 84 104 108 132 140 164 168 188 218 234 252 272	878669386440
STPT(10)	2570424666858376301	0 2 78 80 138 140 198 200 276 278	1339416984462