Prime p₀= 2313699222408179789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 88 2

STPT(10)	2313697370998067309	0 2 48 50 90 92 132 134 180 182	-1851410112480
SPT(16)	2313697495921330723	0 24 40 88 106 130 138 156 178 196 204 228 246 294 310 334	-1726486849066
SPT(16)	2313698256251192659	0 88 102 120 144 168 172 184 258 270 274 298 322 340 354 442	-966156987130
STPT(10)	2313699027015536981	0 2 6 8 18 20 30 32 36 38	-195392642808
SPT(16)	2313699034496676769	0 40 42 94 108 112 132 160 222 250 270 274 288 340 342 382	-187911503020
STPT(10)	2313699089991306929	0 2 18 20 30 32 42 44 60 62	-132416872860
SPT(16)	2313699619830914261	0 8 18 38 60 90 108 140 168 200 218 248 270 290 300 308	397422734472
STPT(10)	2313699665541967991	0 2 36 38 78 80 120 122 156 158	443133788202
SPT(16)	2313699675400357879	0 24 48 84 144 154 162 178 204 220 228 238 298 334 358 382	452992178090
SPT(16)	2313700172414557561	0 12 52 66 70 76 78 118 180 220 222 228 232 246 286 298	950006377772
SPT(13)	2313700231897358093	0 6 30 60 66 126 150 174 234 240 270 294 300	1009489178304