Prime p₀= 2721398330197562537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2721396523441585147	0 6 22 36 42 124 144 204 292 352 372 454 460 474 490 496	-1806755977390
STPT(10)	2721397025062051517	0 2 24 26 42 44 60 62 84 86	-1305135511020
STPT(10)	2721397060084161461	0 2 30 32 60 62 90 92 120 122	-1270113401076
STPT(10)	2721397128334145477	0 2 60 62 72 74 84 86 144 146	-1201863417060
SPT(16)	2721397149917006461	0 10 76 112 118 180 192 250 258 316 328 390 396 432 498 508	-1180280556076
STPT(10)	2721397663899646619	0 2 18 20 30 32 42 44 60 62	-666297915918
SPT(16)	2721398491376806301	0 8 12 30 36 60 68 78 110 120 128 152 158 176 180 188	161179243764
SPT(16)	2721398539924779541	0 28 30 40 46 52 66 100 138 172 186 192 198 208 210 238	209727217004
SPT(16)	2721398675584414751	0 6 56 72 90 132 156 162 170 176 200 242 260 276 326 332	345386852214
STPT(10)	2721398677021496411	0 2 36 38 78 80 120 122 156 158	346823933874
SPT(16)	2721399120702198721	0 30 52 70 72 82 126 162 226 262 306 316 318 336 358 388	790504636184