Prime p₀= 2508778640662914197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: SEARCHER
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2508777097629149621	0 30 72 80 92 120 128 170 240 282 290 318 330 338 380 410	-1543033764576
SPT(16)	2508777157919428499	0 12 38 60 74 90 104 120 122 138 152 168 182 204 230 242	-1482743485698
STPT(10)	2508777448030479707	0 2 54 56 72 74 90 92 144 146	-1192632434490
STPT(10)	2508777963475559141	0 2 36 38 78 80 120 122 156 158	-677187355056
STPT(10)	2508778448657214047	0 2 30 32 72 74 114 116 144 146	-192005700150
SPT(16)	2508778554216575423	0 18 24 60 66 68 84 110 144 170 186 188 194 230 236 254	-86446338774
STPT(10)	2508778996067335721	0 2 36 38 78 80 120 122 156 158	355404421524
STPT(10)	2508779033948183201	0 2 6 8 18 20 30 32 36 38	393285269004
STPT(10)	2508779266279053797	0 2 12 14 42 44 72 74 84 86	625616139600
STPT(12)	2508779465606142929	0 2 12 14 30 32 72 74 90 92 102 104	824943228732
TPT(14)	2508779556495127169	0 2 72 74 78 80 168 170 282 284 288 290 300 302	915832212972