Prime p₀= 1117628141071447301 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: crashtech
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1117627543094769401	0 2 30 32 60 62 90 92 120 122	-597976677900
STPT(10)	1117627555960007669	0 2 90 92 150 152 210 212 300 302	-585111439632
STPT(10)	1117627863405407111	0 2 6 8 18 20 30 32 36 38	-277666040190
STPT(12)	1117627889898769829	0 2 30 32 72 74 108 110 150 152 180 182	-251172677472
SPT(16)	1117628106194804261	0 12 26 78 122 126 150 206 252 308 332 336 380 432 446 458	-34876643040
SPT(16)	1117628136159678167	0 30 96 110 150 192 230 272 300 342 380 422 462 476 542 572	-4911769134
SPT(16)	1117628167654294979	0 18 42 68 102 134 210 222 260 272 348 380 414 440 464 482	26582847678
SPT(16)	1117628190867584743	0 34 36 90 118 130 138 144 190 196 204 216 244 298 300 334	49796137442
STPT(10)	1117628227865332217	0 2 60 62 72 74 84 86 144 146	86793884916
SPT(16)	1117628612952350797	0 36 42 46 60 82 114 124 162 172 204 226 240 244 250 286	471880903496
TPT(14)	1117628619555038027	0 2 84 86 150 152 222 224 294 296 390 392 414 416	478483590726