Prime p₀= 2309083857538700609 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: Landjunge
db: batch=81, k=10, 2 46 2 40 2

STPT(10)	2309082686303581451	0 2 6 8 48 50 90 92 96 98	-1171235119158
STPT(10)	2309082901822887257	0 2 12 14 42 44 72 74 84 86	-955715813352
STPT(10)	2309083345547760401	0 2 6 8 48 50 90 92 96 98	-511990940208
STPT(10)	2309083466052503207	0 2 60 62 72 74 84 86 144 146	-391486197402
SPT(16)	2309083583150536681	0 10 30 40 66 76 90 126 142 178 192 202 228 238 258 268	-274388163928
SPT(16)	2309083624952176199	0 2 32 78 84 92 102 114 128 140 150 158 164 210 240 242	-232586524410
SPT(16)	2309084095340364829	0 18 64 78 82 84 88 138 214 264 268 270 274 288 334 352	237801664220
SPT(16)	2309084144984354197	0 4 52 76 82 102 124 126 130 132 154 174 180 204 252 256	287445653588
STPT(10)	2309084226171506627	0 2 30 32 42 44 54 56 84 86	368632806018
SPT(13)	2309084579559903137	0 6 12 42 90 126 156 186 222 270 300 306 312	722021202528
STPT(10)	2309084863793277341	0 2 36 38 78 80 120 122 156 158	1006254576732