Prime p₀= 2956368299385619187 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: [B^S]ABoskovich
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2956366400923210549	0 10 18 22 30 42 54 88 204 238 250 262 270 274 282 292	-1898462408638
SPT(16)	2956366467808737593	0 44 56 68 98 120 150 168 206 224 254 276 306 318 330 374	-1831576881594
SPT(16)	2956366610829389579	0 92 110 138 182 194 204 240 362 398 408 420 464 492 510 602	-1688556229608
SPT(16)	2956366748575877867	0 44 54 72 110 140 150 194 282 326 336 366 404 422 432 476	-1550809741320
STPT(10)	2956367738776638257	0 2 30 32 42 44 54 56 84 86	-560608980930
STPT(10)	2956367867798094731	0 2 36 38 78 80 120 122 156 158	-431587524456
SPT(16)	2956369372996105597	0 4 24 34 46 66 82 166 180 264 280 300 312 322 342 346	1073610486410
STPT(10)	2956370598502149779	0 2 18 20 30 32 42 44 60 62	2299116530592
STPT(10)	2956371422901057149	0 2 18 20 30 32 42 44 60 62	3123515437962
STPT(10)	2956371849861336587	0 2 90 92 102 104 114 116 204 206	3550475717400
SPT(16)	2956371977256240919	0 24 70 120 150 154 204 234 304 334 384 388 418 468 514 538	3677870621732