Prime p₀= 2313424725324946991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: WTBroughton
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2313423210261335057	0 2 30 32 72 74 114 116 144 146	-1515063611934
STPT(10)	2313423275663243831	0 2 6 8 48 50 90 92 96 98	-1449661703160
SPT(16)	2313423823444542299	0 30 122 138 144 168 212 222 350 360 404 428 434 450 542 572	-901880404692
SPT(16)	2313424285219585327	0 6 40 52 54 96 114 210 226 322 340 382 384 396 430 436	-440105361664
SPT(16)	2313424610445000733	0 6 24 30 48 76 84 94 150 160 168 196 214 220 238 244	-114879946258
SPT(16)	2313424724995017091	0 28 58 66 78 120 138 142 216 220 238 280 292 300 330 358	-329929900
TPT(14)	2313424959934448357	0 2 54 56 84 86 90 92 174 176 180 182 240 242	234609501366
STPT(10)	2313425079387065549	0 2 12 14 90 92 168 170 180 182	354062118558
SPT(16)	2313425271090472783	0 18 30 34 48 58 84 88 96 100 126 136 150 154 166 184	545765525792
STPT(10)	2313425325766617407	0 2 42 44 72 74 102 104 144 146	600441670416
STPT(10)	2313425678483616677	0 2 120 122 222 224 324 326 444 446	953158669686