Prime p₀= 2871799662114788231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2871797843779642033	0 58 78 124 148 174 198 210 244 256 280 306 330 376 396 454	-1818335146198
STPT(10)	2871798108013753739	0 2 18 20 30 32 42 44 60 62	-1554101034492
SPT(16)	2871798217846868161	0 18 42 52 108 120 126 148 150 172 178 190 246 256 280 298	-1444267920070
STPT(10)	2871798923157159167	0 2 30 32 42 44 54 56 84 86	-738957629064
STPT(10)	2871799173923678627	0 2 30 32 72 74 114 116 144 146	-488191109604
SPT(16)	2871799633050376757	0 14 26 56 72 110 176 182 264 270 336 374 390 420 432 446	-29064411474
SPT(16)	2871800034192934679	0 2 38 50 104 108 120 128 204 212 224 228 282 294 330 332	372078146448
SPT(16)	2871800268766060319	0 8 80 84 90 128 150 204 218 272 294 332 338 342 414 422	606651272088
STPT(10)	2871800494186742939	0 2 78 80 120 122 162 164 240 242	832071954708
SPT(16)	2871800832870535897	0 4 6 34 42 60 66 94 102 130 136 154 162 190 192 196	1170755747666
STPT(10)	2871801389703189701	0 2 6 8 18 20 30 32 36 38	1727588401470