Prime p₀= 2798137050266116577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2798135439990629927	0 12 26 102 116 152 180 182 234 236 264 300 314 390 404 416	-1610275486650
STPT(10)	2798135760445587227	0 2 12 14 42 44 72 74 84 86	-1289820529350
SPT(16)	2798135832249099847	0 22 24 40 60 82 102 112 162 172 192 214 234 250 252 274	-1218017016730
SPT(16)	2798135915847129037	0 6 22 34 42 52 66 112 144 190 204 214 222 234 250 256	-1134418987540
STPT(10)	2798135964987449477	0 2 30 32 42 44 54 56 84 86	-1085278667100
STPT(10)	2798136081144318581	0 2 6 8 18 20 30 32 36 38	-969121797996
STPT(10)	2798137354735994807	0 2 30 32 42 44 54 56 84 86	304469878230
STPT(10)	2798137952083266977	0 2 30 32 60 62 90 92 120 122	901817150400
STPT(10)	2798137974399892511	0 2 30 32 78 80 126 128 156 158	924133775934
STPT(12)	2798138133104087819	0 2 12 14 42 44 48 50 78 80 90 92	1082837971242
SPT(16)	2798138215892039369	0 24 68 72 90 104 108 140 222 254 258 272 290 294 338 362	1165625922792