Prime p₀= 2868949516191318611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2868948425953493627	0 2 72 74 102 104 132 134 204 206	-1090237824984
TPT(14)	2868949008892889969	0 2 60 62 72 74 90 92 132 134 168 170 180 182	-507298428642
STPT(10)	2868949063310423627	0 2 30 32 120 122 210 212 240 242	-452880894984
SPT(16)	2868949265036688313	0 6 18 78 106 126 148 156 160 168 190 210 238 298 310 316	-251154630298
STPT(10)	2868949396713190331	0 2 30 32 78 80 126 128 156 158	-119478128280
SPT(16)	2868949412499911201	0 2 26 48 86 140 156 168 170 182 198 252 290 312 336 338	-103691407410
STPT(10)	2868949938390279389	0 2 48 50 60 62 72 74 120 122	422198960778
SPT(16)	2868949958644801021	0 42 78 90 106 130 148 156 172 180 198 222 238 250 286 328	442453482410
STPT(10)	2868950684269433681	0 2 30 32 78 80 126 128 156 158	1168078115070
TPT(14)	2868950796511288439	0 2 60 62 150 152 168 170 222 224 228 230 252 254	1280319969828
STPT(10)	2868950890298826659	0 2 18 20 30 32 42 44 60 62	1374107508048