Prime p₀= 3105589511037538541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: JohnMD
db: batch=83, k=10, 2 28 2 88 2

SPT(16)	3105588729011760349	0 18 24 100 108 172 178 184 198 204 210 274 282 358 364 382	-782025778192
SPT(16)	3105588780525371519	0 38 44 54 74 110 150 158 234 242 282 318 338 348 354 392	-730512167022
STPT(10)	3105588821023636457	0 2 42 44 72 74 102 104 144 146	-690013902084
STPT(10)	3105588949840943351	0 2 36 38 78 80 120 122 156 158	-561196595190
STPT(10)	3105589002477630839	0 2 18 20 30 32 42 44 60 62	-508559907702
SPT(16)	3105589146635457091	0 12 36 112 162 172 186 208 210 232 246 256 306 382 406 418	-364402081450
STPT(10)	3105590327234251931	0 2 6 8 48 50 90 92 96 98	816196713390
STPT(10)	3105590346014836619	0 2 18 20 60 62 102 104 120 122	834977298078
STPT(10)	3105590656341085217	0 2 30 32 42 44 54 56 84 86	1145303546676
SPT(16)	3105590934651682891	0 12 88 102 108 162 168 172 186 190 196 250 256 270 346 358	1423614144350
SPT(16)	3105591167592318809	0 8 18 50 92 98 120 144 158 182 204 210 252 284 294 302	1656554780268