Prime p₀= 1056970261053218339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 16 2 40 2

STPT(10)	1056969085882337891	0 2 6 8 48 50 90 92 96 98	-1175170880448
STPT(10)	1056969875736156209	0 2 42 44 60 62 78 80 120 122	-385317062130
SPT(16)	1056970057121192771	0 32 42 96 98 110 146 170 198 222 258 270 272 326 336 368	-203932025568
STPT(10)	1056970176796846757	0 2 30 32 42 44 54 56 84 86	-84256371582
STPT(10)	1056970192555224917	0 2 30 32 72 74 114 116 144 146	-68497993422
SPT(16)	1056970203861129127	0 34 52 70 76 82 84 150 166 232 234 240 246 264 282 316	-57192089212
STPT(10)	1056970938255313997	0 2 24 26 42 44 60 62 84 86	677202095658
SPT(16)	1056971007144513701	0 8 32 56 108 120 162 182 186 206 248 260 312 336 360 368	746091295362
SPT(16)	1056971229865410817	0 42 60 66 102 112 136 202 210 276 300 310 346 352 370 412	968812192478
SPT(16)	1056971583412246111	0 10 18 52 58 78 88 100 150 162 172 192 198 232 240 250	1322359027772
SPT(16)	1056971907952371023	0 48 60 84 90 110 116 144 170 198 204 224 230 254 266 314	1646899152684