Prime p₀= 2828156091720584267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(20)	2828155191955151209	0 30 54 78 82 112 180 222 250 282 340 372 400 442 510 540 544 568 592 622	-899765433058
SPT(16)	2828155577403826399	0 52 72 90 118 132 168 202 210 244 280 294 322 340 360 412	-514316757868
SPT(16)	2828155818128834383	0 24 28 84 94 144 150 198 220 268 274 324 334 390 394 418	-273591749884
SPT(16)	2828156012979786529	0 10 40 118 144 160 172 190 192 210 222 238 264 342 372 382	-78740797738
STPT(10)	2828156032342634429	0 2 42 44 60 62 78 80 120 122	-59377949838
STPT(10)	2828156082325550687	0 2 42 44 72 74 102 104 144 146	-9395033580
STPT(10)	2828156183168854589	0 2 42 44 60 62 78 80 120 122	91448270322
SPT(16)	2828156573723331143	0 14 20 60 80 86 90 104 126 140 144 150 170 210 216 230	482002746876
TPT(14)	2828156763508206629	0 2 102 104 132 134 228 230 252 254 300 302 330 332	671787622362
SPT(16)	2828156868639140107	0 6 34 40 60 130 144 154 192 202 216 286 306 312 340 346	776918555840
STPT(10)	2828156901232674677	0 2 12 14 42 44 72 74 84 86	809512090410