Prime p₀= 1245853321856338199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=77, k=10, 2 10 2 76 2

STPT(10)	1245851690414365289	0 2 12 14 90 92 168 170 180 182	-1631441972910
SPT(16)	1245851960096309119	0 12 22 78 88 112 124 130 162 168 180 204 214 270 280 292	-1361760029080
SPT(16)	1245852377530622119	0 4 30 40 90 130 144 172 222 250 264 304 354 364 390 394	-944325716080
STPT(10)	1245852940520035817	0 2 30 32 72 74 114 116 144 146	-381336302382
SPT(16)	1245853009269582029	0 8 38 50 110 114 120 170 192 242 248 252 312 324 354 362	-312586756170
STPT(10)	1245853291951407257	0 2 24 26 42 44 60 62 84 86	-29904930942
SPT(16)	1245853333323241679	0 80 98 122 144 150 158 180 182 204 212 218 240 264 282 362	11466903480
STPT(10)	1245853752832587917	0 2 42 44 72 74 102 104 144 146	430976249718
STPT(10)	1245853896502738709	0 2 18 20 30 32 42 44 60 62	574646400510
SPT(16)	1245853922924360149	0 12 30 72 78 100 114 130 162 178 192 214 220 262 280 292	601068021950
SPT(16)	1245854277043623703	0 16 84 96 124 126 130 136 144 150 154 156 184 196 264 280	955187285504