Prime p₀= 2956366034315475167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [B^S]ABoskovich
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2956364845065467621	0 2 30 32 60 62 90 92 120 122	-1189250007546
SPT(16)	2956365019288654243	0 28 40 54 76 84 90 114 130 154 160 168 190 204 216 244	-1015026820924
SPT(16)	2956365238139533447	0 16 54 96 106 142 154 156 190 192 204 240 250 292 330 346	-796175941720
SPT(16)	2956365331357073851	0 18 46 66 78 96 130 138 178 186 220 238 250 270 298 316	-702958401316
SPT(16)	2956365714449165659	0 4 82 90 114 120 180 214 408 442 502 508 532 540 618 622	-319866309508
SPT(16)	2956365796452378347	0 6 42 66 120 122 140 176 240 276 294 296 350 374 410 416	-237863096820
SPT(16)	2956366400923210549	0 10 18 22 30 42 54 88 204 238 250 262 270 274 282 292	366607735382
SPT(16)	2956366467808737593	0 44 56 68 98 120 150 168 206 224 254 276 306 318 330 374	433493262426
SPT(16)	2956366610829389579	0 92 110 138 182 194 204 240 362 398 408 420 464 492 510 602	576513914412
SPT(16)	2956366748575877867	0 44 54 72 110 140 150 194 282 326 336 366 404 422 432 476	714260402700
STPT(10)	2956367738776638257	0 2 30 32 42 44 54 56 84 86	1704461163090