Prime p₀= 1127369593682835299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: crashtech
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1127368138575634799	0 2 18 20 30 32 42 44 48 50 60 62 270 272	-1455107200500
STPT(10)	1127368159465468379	0 2 18 20 30 32 42 44 60 62	-1434217366920
STPT(10)	1127368667349634649	0 2 42 44 60 62 78 80 120 122	-926333200650
SPT(16)	1127368805805819001	0 10 12 40 46 76 120 126 172 178 222 252 258 286 288 298	-787877016298
STPT(10)	1127369114709309971	0 2 36 38 78 80 120 122 156 158	-478973525328
SPT(16)	1127369208297636401	0 12 38 56 66 96 108 116 132 140 152 182 192 210 236 248	-385385198898
SPT(16)	1127369663556808351	0 12 18 42 58 78 102 120 130 148 172 192 208 232 238 250	69873973052
STPT(10)	1127369809976558999	0 2 12 14 90 92 168 170 180 182	216293723700
STPT(10)	1127369832770070059	0 2 18 20 60 62 102 104 120 122	239087234760
TPT(14)	1127370109325398451	0 2 60 62 78 80 120 122 216 218 270 272 336 338	515642563152
SPT(16)	1127370186356336239	0 42 48 52 84 154 184 192 220 228 258 328 360 364 370 412	592673500940