Prime p₀= 2069698755784708619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Ben
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2069697335415988799	0 2 8 44 78 108 192 218 294 320 404 434 468 504 510 512	-1420368719820
STPT(10)	2069697365487677657	0 2 30 32 42 44 54 56 84 86	-1390297030962
SPT(16)	2069697451425149939	0 60 108 138 144 242 282 284 288 290 330 428 434 464 512 572	-1304359558680
TPT(14)	2069697697344577007	0 2 24 26 42 44 54 56 210 212 294 296 360 362	-1058440131612
SPT(16)	2069698346285465443	0 30 34 64 66 70 94 106 198 210 234 238 240 270 274 304	-409499243176
STPT(10)	2069698590020647697	0 2 42 44 72 74 102 104 144 146	-165764060922
SPT(16)	2069699024398677019	0 22 24 102 112 150 160 168 214 222 232 270 280 358 360 382	268613968400
SPT(18)	2069699036896602827	0 6 36 42 56 102 140 146 192 224 270 276 314 360 374 380 410 416	281111894208
SPT(16)	2069699073882949129	0 4 24 54 70 82 88 118 144 174 180 192 208 238 258 262	318098240510
STPT(10)	2069699312798169851	0 2 66 68 138 140 210 212 276 278	557013461232
SPT(16)	2069699330972097661	0 6 46 48 88 96 148 160 168 180 232 240 280 282 322 328	575187389042