Prime p₀= 1321095416119287629 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1321094738855236517	0 2 30 32 42 44 54 56 84 86	-677264051112
STPT(10)	1321095080837896121	0 2 6 8 18 20 30 32 36 38	-335281391508
TPT(14)	1321095242241833627	0 2 90 92 174 176 204 206 240 242 282 284 312 314	-173877454002
SPT(16)	1321095251127743393	0 14 26 60 74 98 110 126 128 144 156 180 194 228 240 254	-164991544236
STPT(10)	1321095266665619087	0 2 30 32 42 44 54 56 84 86	-149453668542
SPT(16)	1321095386114778943	0 6 28 114 118 120 204 216 238 250 334 336 340 426 448 454	-30004508686
SPT(16)	1321095584209022669	0 54 98 120 132 144 164 194 258 288 308 320 332 354 398 452	168089735040
SPT(16)	1321096030503009359	0 20 44 60 74 78 132 144 158 170 224 228 242 258 282 302	614383721730
SPT(16)	1321096088177210489	0 44 60 102 134 140 162 170 174 182 204 210 242 284 300 344	672057922860
STPT(10)	1321096567755609647	0 2 30 32 60 62 90 92 120 122	1151636322018
SPT(16)	1321096875356358719	0 42 48 80 98 108 132 180 182 230 254 264 282 314 320 362	1459237071090