Prime p₀= 2979855664849897649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Orange Kid
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2979853531908801089	0 12 68 114 132 194 210 234 278 302 318 380 398 444 500 512	-2132941096560
SPT(16)	2979854274853099081	0 12 28 42 60 72 88 100 240 252 268 280 298 312 328 340	-1389996798568
STPT(10)	2979854274928191569	0 2 18 20 30 32 42 44 60 62	-1389921706080
SPT(18)	2979854405125548413	0 50 110 128 140 150 168 176 194 210 228 236 254 264 276 294 354 404	-1259724349236
STPT(10)	2979855146370141041	0 2 30 32 60 62 90 92 120 122	-518479756608
TPT(14)	2979855410188788977	0 2 24 26 60 62 222 224 264 266 312 314 354 356	-254661108672
STPT(10)	2979855686709478301	0 2 6 8 48 50 90 92 96 98	21859580652
STPT(10)	2979856019834058191	0 2 30 32 78 80 126 128 156 158	354984160542
SPT(16)	2979856188192729271	0 40 46 48 60 156 166 238 270 342 352 448 460 462 468 508	523342831622
SPT(16)	2979856479371087761	0 30 58 70 96 100 112 120 148 156 168 172 198 210 238 268	814521190112
STPT(10)	2979856990319930447	0 2 24 26 42 44 60 62 84 86	1325470032798