Prime p₀= 2720778850549079657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Rantanplan
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2720777935561403551	0 16 58 72 96 172 192 208 210 226 246 322 346 360 402 418	-914987676106
STPT(10)	2720777969597008637	0 2 30 32 162 164 294 296 324 326	-880952071020
STPT(10)	2720778481160749349	0 2 18 20 30 32 42 44 60 62	-369388330308
STPT(10)	2720778552001383689	0 2 12 14 30 32 48 50 60 62	-298547695968
STPT(10)	2720778600503947601	0 2 36 38 78 80 120 122 156 158	-250045132056
SPT(16)	2720778678606015109	0 10 54 108 130 174 208 222 250 264 298 342 364 418 462 472	-171943064548
SPT(16)	2720779152227847407	0 12 30 72 92 114 134 210 266 342 362 384 404 446 464 476	301678767750
SPT(16)	2720779185756305407	0 6 12 66 112 130 136 172 180 216 222 240 286 340 346 352	335207225750
STPT(10)	2720779409813609327	0 2 30 32 42 44 54 56 84 86	559264529670
SPT(18)	2720779723344447797	0 32 60 62 92 116 120 126 170 186 230 236 240 264 294 296 324 356	872795368140
SPT(16)	2720780050989839747	0 2 20 30 44 90 96 104 132 140 146 192 206 216 234 236	1200440760090