Prime p₀= 3031627361166905321 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: Alnitak2019
db: batch=82, k=10, 2 28 2 88 2

STPT(10)	3031625846317548119	0 2 48 50 90 92 132 134 180 182	-1514849357202
STPT(12)	3031626056770140197	0 2 30 32 42 44 132 134 144 146 174 176	-1304396765124
SPT(16)	3031626184136893141	0 16 78 88 100 142 162 166 252 256 276 318 330 340 402 418	-1177030012180
STPT(10)	3031626793297112111	0 2 6 8 48 50 90 92 96 98	-567869793210
SPT(16)	3031626943681465859	0 38 60 98 120 140 168 170 198 200 228 248 270 308 330 368	-417485439462
SPT(16)	3031627168842034237	0 30 60 66 76 102 126 132 154 160 184 210 220 226 256 286	-192324871084
SPT(16)	3031627418656504333	0 40 64 78 108 130 154 168 316 330 354 376 406 420 444 484	57489599012
TPT(14)	3031627957431588059	0 2 150 152 240 242 270 272 282 284 312 314 348 350	596264682738
TPT(14)	3031628296514960291	0 2 48 50 78 80 90 92 210 212 246 248 270 272	935348054970
SPT(16)	3031628428437380179	0 28 58 64 78 84 94 108 154 168 178 184 198 204 234 262	1067270474858
STPT(10)	3031629075638212961	0 2 6 8 18 20 30 32 36 38	1714471307640