Prime p₀= 2829714476502127439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Time_Traveler
db: batch=82, k=10, 2 76 2 40 2

STPT(10)	2829711970094535341	0 2 6 8 48 50 90 92 96 98	-2506407592098
STPT(10)	2829712159333174889	0 2 12 14 90 92 168 170 180 182	-2317168952550
SPT(16)	2829712197446754709	0 18 42 64 102 108 118 144 178 204 214 220 258 280 304 322	-2279055372730
STPT(10)	2829712202505295097	0 2 12 14 72 74 132 134 144 146	-2273996832342
STPT(10)	2829712381782749159	0 2 48 50 90 92 132 134 180 182	-2094719378280
SPT(16)	2829713376499064017	0 4 34 72 76 102 112 124 132 144 154 180 184 222 252 256	-1100003063422
SPT(16)	2829714643398069989	0 2 24 38 60 92 134 158 174 198 240 272 294 308 330 332	166895942550
STPT(12)	2829714995168800577	0 2 12 14 42 44 150 152 180 182 192 194	518666673138
SPT(16)	2829715030512705091	0 12 28 40 42 70 78 100 168 190 198 226 228 240 256 268	554010577652
STPT(10)	2829715151369087027	0 2 54 56 72 74 90 92 144 146	674866959588
SPT(16)	2829715215777989887	0 6 36 46 96 154 190 216 244 270 306 364 414 424 454 460	739275862448