Prime p₀= 2337030797544576821 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: MarkRBright
db: batch=81, k=10, 2 28 2 88 2

SPT(16)	2337029273889419969	0 32 80 138 144 158 210 234 308 332 384 398 404 462 510 542	-1523655156852
STPT(10)	2337029692668020171	0 2 6 8 48 50 90 92 96 98	-1104876556650
SPT(16)	2337029852534568907	0 4 6 16 46 72 126 132 184 190 244 270 300 310 312 316	-945010007914
STPT(10)	2337030249904858967	0 2 30 32 42 44 54 56 84 86	-547639717854
TPT(14)	2337030336419206691	0 2 18 20 90 92 198 200 228 230 300 302 366 368	-461125370130
STPT(10)	2337030535879608227	0 2 84 86 162 164 240 242 324 326	-261664968594
STPT(10)	2337030848851461359	0 2 42 44 60 62 78 80 120 122	51306884538
SPT(16)	2337031136223002909	0 18 50 60 92 128 158 198 224 264 294 330 362 372 404 422	338678426088
SPT(16)	2337031152371948243	0 30 38 60 80 84 168 234 260 326 410 414 434 456 464 494	354827371422
SPT(16)	2337031256408272387	0 6 36 60 66 90 94 96 160 162 166 190 196 220 250 256	458863695566
SPT(16)	2337031301396856709	0 10 52 54 72 84 88 138 154 204 208 220 238 240 282 292	503852279888