Prime p₀= 1006314113784956069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1006313306355855787	0 22 34 66 106 126 154 196 240 282 310 330 370 402 414 436	-807429100282
STPT(10)	1006313639144198387	0 2 30 32 60 62 90 92 120 122	-474640757682
SPT(16)	1006313679668875637	0 20 30 92 122 152 180 182 204 206 234 264 294 356 366 386	-434116080432
SPT(16)	1006313739285926329	0 4 18 42 88 108 124 150 172 198 214 234 280 304 318 322	-374499029740
TPT(14)	1006313915335277051	0 2 60 62 126 128 150 152 180 182 228 230 240 242	-198449679018
SPT(16)	1006313961781052767	0 22 40 94 96 124 142 154 192 204 222 250 252 306 324 346	-152003903302
STPT(10)	1006314350465447459	0 2 42 44 60 62 78 80 120 122	236680491390
SPT(16)	1006314830235955949	0 8 20 38 42 48 140 150 200 210 302 308 312 330 342 350	716450999880
STPT(10)	1006314974653221029	0 2 18 20 30 32 42 44 60 62	860868264960
SPT(16)	1006315157796831739	0 28 30 114 120 148 160 184 258 282 294 322 328 412 414 442	1044011875670
SPT(16)	1006315566656133917	0 30 42 96 120 140 162 176 186 200 222 242 266 320 332 362	1452871177848