Prime p₀= 2780686754758496399 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 16 2

STPT(10)	2780685076623624617	0 2 42 44 72 74 102 104 144 146	-1678134871782
SPT(13)	2780685236029470571	0 42 60 72 90 132 156 180 222 240 252 270 312	-1518729025828
SPT(16)	2780685348823351997	0 14 60 62 80 96 132 140 156 164 200 216 234 236 282 296	-1405935144402
SPT(16)	2780685715164525349	0 58 84 202 214 252 264 268 294 298 310 348 360 478 504 562	-1039593971050
SPT(16)	2780685901346197571	0 30 38 42 80 102 110 152 156 198 206 228 266 270 278 308	-853412298828
STPT(10)	2780686247625481751	0 2 6 8 48 50 90 92 96 98	-507133014648
SPT(16)	2780686965106746239	0 24 38 90 140 144 152 164 168 180 188 192 242 294 308 332	210348249840
STPT(10)	2780687029579022789	0 2 30 32 120 122 210 212 240 242	274820526390
STPT(10)	2780687440272131849	0 2 18 20 30 32 42 44 60 62	685513635450
SPT(16)	2780687585653842871	0 6 30 76 88 90 102 118 210 226 238 240 252 298 322 328	830895346472
STPT(10)	2780687775375673349	0 2 42 44 90 92 138 140 180 182	1020617176950