Prime p₀= 2721109198153182971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2721108093074699381	0 86 98 110 120 140 158 162 176 180 198 218 228 240 252 338	-1105078483590
SPT(16)	2721108220730794373	0 24 44 156 198 246 278 290 294 306 338 386 428 540 560 584	-977422388598
STPT(10)	2721108316778130437	0 2 54 56 72 74 90 92 144 146	-881375052534
TPT(14)	2721108674655397667	0 2 144 146 222 224 264 266 300 302 312 314 324 326	-523497785304
SPT(16)	2721108751119921973	0 4 46 48 66 90 94 114 130 150 154 178 196 198 240 244	-447033260998
SPT(16)	2721108882875205803	0 18 96 110 114 156 170 194 210 234 248 290 294 308 386 404	-315277977168
STPT(10)	2721109365474057587	0 2 30 32 42 44 54 56 84 86	167320874616
STPT(10)	2721109478555212907	0 2 30 32 42 44 54 56 84 86	280402029936
STPT(10)	2721109545942362747	0 2 42 44 72 74 102 104 144 146	347789179776
SPT(16)	2721110119062039487	0 16 24 52 60 144 184 202 294 312 352 436 444 472 480 496	920908856516
STPT(10)	2721110381092704059	0 2 18 20 30 32 42 44 60 62	1182939521088