Prime p₀= 1458782613840311651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: bfromcolo
db: batch=78, k=10, 2 64 2 40 2

STPT(10)	1458781971351568007	0 2 42 44 72 74 102 104 144 146	-642488743644
STPT(10)	1458782060083286747	0 2 54 56 72 74 90 92 144 146	-553757024904
SPT(16)	1458782105476083943	0 18 76 106 120 130 136 148 156 168 174 184 198 228 286 304	-508364227708
SPT(16)	1458782327010264287	0 12 42 56 66 72 96 140 162 206 230 236 246 260 290 302	-286830047364
STPT(10)	1458782350741271627	0 2 30 32 42 44 54 56 84 86	-263099040024
SPT(16)	1458782450048608897	0 24 72 94 136 144 156 186 280 310 322 330 372 394 442 466	-163791702754
SPT(16)	1458782790078396907	0 54 70 76 120 160 172 174 202 204 216 256 300 306 322 376	176238085256
SPT(16)	1458782816281743791	0 2 12 66 116 126 138 150 158 170 182 192 242 296 306 308	202441432140
SPT(16)	1458782892158232841	0 16 28 36 100 106 118 126 160 168 180 186 250 258 270 286	278317921190
STPT(10)	1458783016544259191	0 2 30 32 60 62 90 92 120 122	402703947540
STPT(10)	1458783173271514619	0 2 42 44 90 92 138 140 180 182	559431202968