Prime p₀= 2168462692099437827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Penguin
db: batch=81, k=10, 2 28 2 28 2

SPT(20)	2168461608838191593	0 14 114 156 176 216 224 266 278 320 324 366 378 420 428 468 488 530 630 644	-1083261246234
STPT(10)	2168461695213469217	0 2 42 44 72 74 102 104 144 146	-996885968610
SPT(16)	2168461731531159599	0 30 38 44 80 90 104 120 308 324 338 348 384 390 398 428	-960568278228
TPT(14)	2168461733050392587	0 2 90 92 162 164 192 194 222 224 252 254 264 266	-959049045240
STPT(10)	2168462231879323349	0 2 12 14 30 32 48 50 60 62	-460220114478
SPT(16)	2168462275923965507	0 72 90 122 162 182 192 212 384 404 414 434 474 506 524 596	-416175472320
SPT(16)	2168462700008299207	0 6 34 60 100 106 120 130 186 196 210 216 256 282 310 316	7908861380
SPT(16)	2168462861540191417	0 4 10 22 34 40 82 90 166 174 216 222 234 246 252 256	169440753590
SPT(16)	2168463404309772421	0 78 166 208 228 256 298 300 328 330 372 400 420 462 550 628	712210334594
SPT(16)	2168463561750255163	0 28 30 36 64 88 94 106 198 210 216 240 268 274 276 304	869650817336
STPT(10)	2168464391540448497	0 2 12 14 42 44 72 74 84 86	1699441010670