Prime p₀= 1126648618620257099 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=76, k=10, 2 46 2 40 2

STPT(10)	1126647013007535161	0 2 6 8 18 20 30 32 36 38	-1605612721938
STPT(10)	1126647136281533849	0 2 12 14 90 92 168 170 180 182	-1482338723250
SPT(16)	1126647218593866329	0 42 44 98 132 140 174 204 308 338 372 380 414 468 470 512	-1400026390770
SPT(16)	1126647360727256989	0 4 60 64 108 162 190 208 234 252 280 334 378 382 438 442	-1257893000110
STPT(10)	1126647838815538979	0 2 42 44 60 62 78 80 120 122	-779804718120
SPT(16)	1126648483334205989	0 48 54 80 104 164 170 180 182 192 198 258 282 308 314 362	-135286051110
SPT(16)	1126649202860744869	0 88 102 208 238 270 280 304 348 372 382 414 444 550 564 652	584240487770
SPT(16)	1126649359212599501	0 6 12 42 48 56 96 122 126 152 192 200 206 236 242 248	740592342402
SPT(16)	1126649633485547851	0 12 70 78 120 138 150 166 252 268 280 298 340 348 406 418	1014865290752
STPT(10)	1126649703957007331	0 2 6 8 48 50 90 92 96 98	1085336750232
STPT(10)	1126650216111443237	0 2 30 32 42 44 54 56 84 86	1597491186138