Prime p₀= 2178772447048729289 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: ginga
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2178771159852630767	0 2 30 32 72 74 114 116 144 146	-1287196098522
STPT(10)	2178771363278468039	0 2 48 50 90 92 132 134 180 182	-1083770261250
STPT(10)	2178771985193759279	0 2 42 44 60 62 78 80 120 122	-461854970010
STPT(10)	2178772139514340157	0 2 12 14 72 74 132 134 144 146	-307534389132
SPT(16)	2178772144513712777	0 2 12 14 24 32 54 96 170 212 234 242 252 254 264 266	-302535016512
SPT(16)	2178772219503169091	0 62 90 116 152 176 180 228 260 308 312 336 372 398 426 488	-227545560198
SPT(16)	2178772628802289327	0 22 34 64 70 90 100 142 222 264 274 294 300 330 342 364	181753560038
SPT(16)	2178773259058314629	0 18 32 54 62 74 104 120 152 168 198 210 218 240 254 272	812009585340
STPT(10)	2178773318828817587	0 2 30 32 60 62 90 92 120 122	871780088298
STPT(10)	2178773354835022469	0 2 18 20 30 32 42 44 60 62	907786293180
SPT(16)	2178773396944237081	0 88 126 172 202 228 258 268 270 280 310 336 366 412 450 538	949895507792