Prime p₀= 1242611276405137181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1242610401803124997	0 12 16 24 30 42 126 132 244 250 334 346 352 360 364 376	-874602012184
STPT(12)	1242610671295299989	0 2 12 14 42 44 60 62 90 92 102 104	-605109837192
SPT(18)	1242610912147744409	0 14 20 90 92 132 140 144 168 194 218 222 230 270 272 342 348 362	-364257392772
STPT(10)	1242611041701899039	0 2 18 20 30 32 42 44 60 62	-234703238142
STPT(10)	1242611153338512239	0 2 42 44 60 62 78 80 120 122	-123066624942
STPT(10)	1242611215724566949	0 2 48 50 60 62 72 74 120 122	-60680570232
SPT(16)	1242611412961996303	0 18 28 30 36 64 88 118 156 186 210 238 244 246 256 274	136556859122
STPT(10)	1242611557482483689	0 2 48 50 90 92 132 134 180 182	281077346508
STPT(10)	1242611607534447011	0 2 36 38 78 80 120 122 156 158	331129309830
SPT(16)	1242611740019053609	0 18 22 28 84 90 132 154 168 190 232 238 294 300 304 322	463613916428
SPT(16)	1242612004309943209	0 28 40 42 52 70 130 178 204 252 312 330 340 342 354 382	727904806028