Prime p₀= 1211464123777821437 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1211463369065499089	0 8 38 170 192 194 212 270 302 360 378 380 402 534 564 572	-754712322348
STPT(10)	1211463400998912671	0 2 36 38 78 80 120 122 156 158	-722778908766
SPT(16)	1211463644185285529	0 2 42 150 152 192 210 240 260 290 308 348 350 458 498 500	-479592535908
STPT(10)	1211463788510567489	0 2 30 32 120 122 210 212 240 242	-335267253948
STPT(10)	1211463893292704321	0 2 6 8 48 50 90 92 96 98	-230485117116
STPT(10)	1211464086478039661	0 2 36 38 78 80 120 122 156 158	-37299781776
SPT(16)	1211464651062008051	0 36 38 60 92 108 150 176 192 218 260 276 308 330 332 368	527284186614
STPT(10)	1211464670473913627	0 2 30 32 72 74 114 116 144 146	546696092190
SPT(16)	1211465075424219101	0 38 48 66 78 90 146 168 170 192 248 260 272 290 300 338	951646397664
STPT(10)	1211465183794934207	0 2 42 44 72 74 102 104 144 146	1060017112770
STPT(10)	1211465476549845017	0 2 12 14 72 74 132 134 144 146	1352772023580