Prime p₀= 2929779659724677519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Thundergrid
db: batch=82, k=10, 2 10 2 76 2

TPT(14)	2929777308566408999	0 2 72 74 228 230 270 272 282 284 348 350 360 362	-2351158268520
SPT(16)	2929777927437668381	0 62 72 78 86 132 176 188 210 222 266 312 320 326 336 398	-1732287009138
SPT(16)	2929778200264582867	0 6 72 82 96 102 156 162 250 256 310 316 330 340 406 412	-1459460094652
SPT(16)	2929779126469309099	0 40 42 52 72 82 88 102 220 234 240 250 270 280 282 322	-533255368420
TPT(14)	2929779275065046321	0 2 30 32 36 38 66 68 78 80 156 158 168 170	-384659631198
STPT(10)	2929779650383677191	0 2 6 8 168 170 330 332 336 338	-9341000328
SPT(16)	2929780128975229069	0 4 12 40 78 148 192 238 264 310 354 424 462 490 498 502	469250551550
STPT(10)	2929780511134376519	0 2 12 14 90 92 168 170 180 182	851409699000
SPT(16)	2929780663624482883	0 10 34 70 190 208 250 264 274 288 330 348 468 504 528 538	1003899805364
STPT(10)	2929781112212350601	0 2 6 8 18 20 30 32 36 38	1452487673082
SPT(16)	2929781255023337483	0 74 108 126 140 198 200 230 294 324 326 384 398 416 450 524	1595298659964