Prime p₀= 2868949396713190331 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)	2868948197733084317	0 12 26 90 104 134 156 174 182 200 222 252 266 330 344 356	-1198980106014
SPT(13)	2868948376585000543	0 60 78 114 144 198 204 210 264 294 330 348 408	-1020128189788
STPT(10)	2868948425953493627	0 2 72 74 102 104 132 134 204 206	-970759696704
TPT(14)	2868949008892889969	0 2 60 62 72 74 90 92 132 134 168 170 180 182	-387820300362
STPT(10)	2868949063310423627	0 2 30 32 120 122 210 212 240 242	-333402766704
SPT(16)	2868949265036688313	0 6 18 78 106 126 148 156 160 168 190 210 238 298 310 316	-131676502018
SPT(16)	2868949412499911201	0 2 26 48 86 140 156 168 170 182 198 252 290 312 336 338	15786720870
STPT(10)	2868949516191318611	0 2 6 8 18 20 30 32 36 38	119478128280
STPT(10)	2868949938390279389	0 2 48 50 60 62 72 74 120 122	541677089058
SPT(16)	2868949958644801021	0 42 78 90 106 130 148 156 172 180 198 222 238 250 286 328	561931610690
STPT(10)	2868950684269433681	0 2 30 32 78 80 126 128 156 158	1287556243350