Prime p₀= 2168462231879323349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Penguin
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2168461402981143869	0 2 18 20 30 32 42 44 60 62	-828898179480
TPT(14)	2168461476846426197	0 2 132 134 204 206 270 272 300 302 330 332 414 416	-755032897152
SPT(20)	2168461608838191593	0 14 114 156 176 216 224 266 278 320 324 366 378 420 428 468 488 530 630 644	-623041131756
STPT(10)	2168461695213469217	0 2 42 44 72 74 102 104 144 146	-536665854132
SPT(16)	2168461731531159599	0 30 38 44 80 90 104 120 308 324 338 348 384 390 398 428	-500348163750
TPT(14)	2168461733050392587	0 2 90 92 162 164 192 194 222 224 252 254 264 266	-498828930762
SPT(16)	2168462275923965507	0 72 90 122 162 182 192 212 384 404 414 434 474 506 524 596	44044642158
STPT(10)	2168462692099437827	0 2 30 32 60 62 90 92 120 122	460220114478
SPT(16)	2168462700008299207	0 6 34 60 100 106 120 130 186 196 210 216 256 282 310 316	468128975858
SPT(16)	2168462861540191417	0 4 10 22 34 40 82 90 166 174 216 222 234 246 252 256	629660868068
SPT(16)	2168463404309772421	0 78 166 208 228 256 298 300 328 330 372 400 420 462 550 628	1172430449072