Prime p₀= 2802303926670459317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2802302181164970733	0 34 60 64 78 174 190 214 240 264 280 376 390 394 420 454	-1745505488584
STPT(10)	2802302437559038199	0 2 42 44 60 62 78 80 120 122	-1489111421118
SPT(16)	2802302509356798241	0 16 22 72 112 178 190 226 252 288 300 366 406 456 462 478	-1417313661076
STPT(10)	2802302870786322641	0 2 6 8 108 110 210 212 216 218	-1055884136676
STPT(10)	2802303412944614207	0 2 30 32 72 74 114 116 144 146	-513725845110
STPT(10)	2802303596680963547	0 2 42 44 72 74 102 104 144 146	-329989495770
TPT(14)	2802303971299442381	0 2 36 38 48 50 90 92 156 158 198 200 228 230	44628983064
SPT(16)	2802304024384032503	0 14 20 80 114 126 168 186 278 296 338 350 384 444 450 464	97713573186
TPT(14)	2802304181570849699	0 2 30 32 72 74 78 80 132 134 258 260 282 284	254900390382
TPT(14)	2802305358930917681	0 2 6 8 18 20 48 50 156 158 210 212 240 242	1432260458364
STPT(10)	2802305637902197121	0 2 30 32 60 62 90 92 120 122	1711231737804