Prime p₀= 1551457765647303209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: crashtech
db: batch=78, k=10, 2 46 2 40 2

STPT(10)	1551455781379252961	0 2 36 38 78 80 120 122 156 158	-1984268050248
STPT(10)	1551456205190663657	0 2 54 56 72 74 90 92 144 146	-1560456639552
SPT(16)	1551456773288280337	0 10 24 34 72 94 96 156 160 220 222 244 282 292 306 316	-992359022872
SPT(16)	1551457004750359951	0 6 18 28 30 40 46 142 156 252 258 268 270 280 292 298	-760896943258
TPT(14)	1551457070339211437	0 2 24 26 42 44 54 56 132 134 162 164 174 176	-695308091772
STPT(10)	1551457681633179029	0 2 12 14 180 182 348 350 360 362	-84014124180
SPT(16)	1551458206611293719	0 82 100 102 124 138 148 172 180 204 214 228 250 252 270 352	440963990510
STPT(10)	1551458468549400371	0 2 36 38 78 80 120 122 156 158	702902097162
TPT(14)	1551458540387558189	0 2 30 32 72 74 90 92 132 134 162 164 168 170	774740254980
STPT(12)	1551458540387558189	0 2 30 32 72 74 90 92 132 134 162 164	774740254980
SPT(16)	1551458555102286739	0 12 124 172 214 240 252 270 292 310 322 348 390 438 550 562	789454983530