Prime p₀= 1269210020516649329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1269208600990169347	0 22 60 72 96 100 102 124 162 184 186 190 214 226 264 286	-1419526479982
SPT(16)	1269208822850236663	0 28 30 48 66 136 160 168 316 324 348 418 436 454 456 484	-1197666412666
SPT(16)	1269209028360076637	0 44 54 110 114 150 152 164 240 252 254 290 294 350 360 404	-992156572692
SPT(16)	1269209455120095637	0 16 40 66 142 172 180 196 390 406 414 444 520 546 570 586	-565396553692
STPT(10)	1269209753324499191	0 2 6 8 18 20 30 32 36 38	-267192150138
SPT(16)	1269209893033431949	0 28 52 78 88 112 118 120 202 204 210 234 244 270 294 322	-127483217380
SPT(16)	1269210054835505689	0 34 78 112 132 154 222 258 274 310 378 400 420 454 498 532	34318856360
STPT(10)	1269210540978223169	0 2 18 20 30 32 42 44 60 62	520461573840
STPT(10)	1269210556477577447	0 2 30 32 42 44 54 56 84 86	535960928118
STPT(10)	1269210769568002109	0 2 30 32 60 62 90 92 120 122	749051352780
STPT(10)	1269210951476925551	0 2 6 8 48 50 90 92 96 98	930960276222