Prime p₀= 1235372168076762839 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1235370771427813987	0 4 10 52 64 114 150 162 172 184 220 270 282 324 330 334	-1396648948852
SPT(16)	1235371025278398233	0 66 84 86 110 150 158 164 240 246 254 294 318 320 338 404	-1142798364606
STPT(12)	1235371415061560549	0 2 12 14 42 44 48 50 78 80 90 92	-753015202290
STPT(10)	1235371683639020897	0 2 54 56 72 74 90 92 144 146	-484437741942
STPT(10)	1235371824379626179	0 2 30 32 120 122 210 212 240 242	-343697136660
SPT(16)	1235371910735969509	0 24 54 88 180 214 240 250 282 292 318 352 444 478 508 532	-257340793330
TPT(14)	1235372541494075357	0 2 72 74 84 86 90 92 204 206 270 272 300 302	373417312518
STPT(10)	1235372844518351879	0 2 18 20 30 32 42 44 60 62	676441589040
SPT(16)	1235372894786380297	0 54 76 90 126 192 204 220 276 292 304 370 406 420 442 496	726709617458
STPT(10)	1235373536888684069	0 2 30 32 60 62 90 92 120 122	1368811921230
SPT(16)	1235373601166131369	0 12 22 24 34 42 54 82 90 118 130 138 148 150 160 172	1433089368530