Prime p₀= 2506344306741230321 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: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2506342942465001491	0 22 42 96 118 246 256 288 340 372 382 510 532 586 606 628	-1364276228830
STPT(10)	2506343270803308449	0 2 42 44 60 62 78 80 120 122	-1035937921872
TPT(14)	2506343478747362237	0 2 102 104 144 146 252 254 384 386 450 452 504 506	-827993868084
SPT(16)	2506343604485772827	0 2 12 62 86 90 144 146 150 152 206 210 234 284 294 296	-702255457494
SPT(16)	2506343730254191117	0 90 160 166 180 192 202 240 346 384 394 406 420 426 496 586	-576487039204
STPT(10)	2506343982944020337	0 2 30 32 42 44 54 56 84 86	-323797209984
SPT(16)	2506344420727912021	0 52 70 76 90 108 112 132 166 186 190 208 222 228 246 298	113986681700
STPT(10)	2506344477602180231	0 2 30 32 78 80 126 128 156 158	170860949910
STPT(10)	2506344485832495401	0 2 30 32 60 62 90 92 120 122	179091265080
SPT(16)	2506345813815125201	0 2 20 56 86 110 126 152 240 266 282 306 336 372 390 392	1507073894880
STPT(10)	2506346037137041997	0 2 60 62 72 74 84 86 144 146	1730395811676