Prime p₀= 2309155183372086617 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: Time_Traveler
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2309154059006644427	0 2 30 32 42 44 54 56 84 86	-1124365442190
STPT(10)	2309154081140075159	0 2 12 14 90 92 168 170 180 182	-1102232011458
TPT(14)	2309154111330842201	0 2 60 62 96 98 138 140 150 152 156 158 228 230	-1072041244416
STPT(10)	2309154683807389469	0 2 18 20 30 32 42 44 60 62	-499564697148
SPT(16)	2309154861038832461	0 2 32 42 68 72 78 90 98 110 116 120 146 156 186 188	-322333254156
SPT(16)	2309155017491723717	0 24 50 84 144 164 180 194 210 224 240 260 320 354 380 404	-165880362900
SPT(16)	2309155506322998139	0 52 60 72 78 102 118 130 132 144 160 184 190 202 210 262	322950911522
STPT(10)	2309155703167760729	0 2 18 20 60 62 102 104 120 122	519795674112
SPT(16)	2309156729187396083	0 20 30 80 90 98 108 120 128 140 150 158 168 218 228 248	1545815309466
TPT(14)	2309156948675343617	0 2 12 14 30 32 54 56 90 92 102 104 294 296	1765303257000
TPT(14)	2309157412659340697	0 2 240 242 252 254 282 284 354 356 390 392 444 446	2229287254080