Prime p₀= 2340701023365847739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2340700087704974491	0 12 28 46 66 70 90 112 156 178 198 202 222 240 256 268	-935660873248
TPT(14)	2340700241808036749	0 2 42 44 60 62 90 92 168 170 210 212 312 314	-781557810990
SPT(16)	2340700536288458921	0 12 20 26 42 62 110 132 140 162 210 230 246 252 260 272	-487077388818
STPT(10)	2340700553004724367	0 2 30 32 72 74 114 116 144 146	-470361123372
SPT(16)	2340700561206289333	0 6 16 30 36 64 76 84 100 108 120 148 154 168 178 184	-462159558406
STPT(10)	2340700735659248057	0 2 30 32 42 44 54 56 84 86	-287706599682
STPT(10)	2340701298097560647	0 2 12 14 42 44 72 74 84 86	274731712908
SPT(16)	2340701344330364269	0 64 90 118 148 154 160 168 184 192 198 204 234 262 288 352	320964516530
TPT(14)	2340701412140341889	0 2 42 44 72 74 288 290 300 302 372 374 420 422	388774494150
TPT(14)	2340701486266710839	0 2 30 32 108 110 138 140 150 152 228 230 240 242	462900863100
SPT(16)	2340701624822231287	0 22 30 42 52 60 102 126 130 154 196 204 214 226 234 256	601456383548