Prime p₀= 2972710407682359941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: eclipse99
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2972708633362779581	0 2 6 8 48 50 90 92 96 98	-1774319580360
TPT(14)	2972708641739001257	0 2 204 206 210 212 240 242 252 254 264 266 360 362	-1765943358684
SPT(16)	2972709694140483443	0 14 20 56 60 98 104 116 138 150 156 194 198 234 240 254	-713541876498
STPT(10)	2972709701703112001	0 2 36 38 78 80 120 122 156 158	-705979247940
SPT(16)	2972710195416378103	0 4 16 18 30 40 114 126 268 280 354 364 376 378 390 394	-212265981838
SPT(16)	2972710240254659857	0 52 94 124 156 222 276 294 322 340 394 460 492 522 564 616	-167427700084
TPT(14)	2972710604861246699	0 2 60 62 72 74 90 92 162 164 240 242 258 260	197178886758
STPT(10)	2972710687214755181	0 2 30 32 60 62 90 92 120 122	279532395240
STPT(10)	2972710713598113539	0 2 42 44 60 62 78 80 120 122	305915753598
STPT(10)	2972710970607957869	0 2 42 44 90 92 138 140 180 182	562925597928
SPT(16)	2972711705105981411	0 48 56 122 140 182 222 242 306 326 366 408 426 492 500 548	1297423621470