Prime p₀= 2270348587486859837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2270348114288245399	0 22 30 102 108 148 150 198 232 280 282 322 328 400 408 430	-473198614438
STPT(10)	2270348151817519127	0 2 54 56 72 74 90 92 144 146	-435669340710
SPT(16)	2270348203573128949	0 18 58 64 72 78 84 90 112 118 124 130 138 144 184 202	-383913730888
SPT(16)	2270348290286400067	0 22 24 30 100 120 130 132 172 174 184 204 274 280 282 304	-297200459770
SPT(16)	2270348328386933651	0 2 6 126 140 150 156 168 260 272 278 288 302 422 426 428	-259099926186
STPT(10)	2270348546717327759	0 2 42 44 90 92 138 140 180 182	-40769532078
TPT(14)	2270348844343702559	0 2 138 140 180 182 288 290 348 350 372 374 462 464	256856842722
SPT(16)	2270349160467297929	0 74 104 120 138 140 174 180 182 188 222 224 242 258 288 362	572980438092
STPT(10)	2270349388274476877	0 2 30 32 42 44 54 56 84 86	800787617040
SPT(16)	2270349495530375183	0 36 38 56 126 204 264 276 308 320 380 458 528 546 548 584	908043515346
SPT(13)	2270349556188695263	0 6 60 66 78 126 168 210 258 270 276 330 336	968701835426