Prime p₀= 2798137952083266977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2798135832249099847	0 22 24 40 60 82 102 112 162 172 192 214 234 250 252 274	-2119834167130
SPT(16)	2798135915847129037	0 6 22 34 42 52 66 112 144 190 204 214 222 234 250 256	-2036236137940
STPT(10)	2798135964987449477	0 2 30 32 42 44 54 56 84 86	-1987095817500
STPT(10)	2798136081144318581	0 2 6 8 18 20 30 32 36 38	-1870938948396
STPT(10)	2798137050266116577	0 2 42 44 72 74 102 104 144 146	-901817150400
STPT(10)	2798137354735994807	0 2 30 32 42 44 54 56 84 86	-597347272170
STPT(10)	2798137974399892511	0 2 30 32 78 80 126 128 156 158	22316625534
STPT(12)	2798138133104087819	0 2 12 14 42 44 48 50 78 80 90 92	181020820842
SPT(16)	2798138215892039369	0 24 68 72 90 104 108 140 222 254 258 272 290 294 338 362	263808772392
SPT(16)	2798138662786207541	0 6 30 38 66 72 86 108 110 132 146 152 180 188 212 218	710702940564
TPT(14)	2798138707590323231	0 2 30 32 78 80 120 122 156 158 180 182 246 248	755507056254