Prime p₀= 2311193123001311357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: FritzB
db: batch=81, k=10, 2 52 2 16 2

STPT(10)	2311191155695382729	0 2 18 20 30 32 42 44 60 62	-1967305928628
SPT(16)	2311191428984081209	0 4 60 70 82 112 132 150 154 172 192 222 234 244 300 304	-1694017230148
SPT(16)	2311191992239954067	0 2 24 60 62 90 110 116 180 186 206 234 236 272 294 296	-1130761357290
TPT(14)	2311192505099988941	0 2 30 32 90 92 138 140 156 158 186 188 210 212	-617901322416
SPT(16)	2311192544144602123	0 66 78 136 168 210 234 238 246 250 274 316 348 406 418 484	-578856709234
TPT(14)	2311192923191736971	0 2 30 32 36 38 90 92 156 158 168 170 186 188	-199809574386
STPT(10)	2311193331483816719	0 2 18 20 30 32 42 44 60 62	208482505362
TPT(14)	2311193381175446477	0 2 24 26 84 86 90 92 132 134 162 164 180 182	258174135120
STPT(12)	2311193688585499799	0 2 12 14 48 50 132 134 168 170 180 182	565584188442
SPT(16)	2311194023425394831	0 36 38 78 80 86 98 146 192 240 252 258 260 300 302 338	900424083474
SPT(16)	2311194182445440681	0 20 30 68 78 90 98 140 168 210 218 230 240 278 288 308	1059444129324