Prime p₀= 2254138710835022129 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: JonS
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2254137015711848789	0 2 18 20 30 32 42 44 60 62	-1695123173340
STPT(10)	2254137339502870139	0 2 42 44 90 92 138 140 180 182	-1371332151990
SPT(16)	2254137626876245351	0 10 16 42 48 70 90 126 142 178 198 220 226 252 258 268	-1083958776778
SPT(16)	2254137884172272911	0 28 42 66 88 126 150 220 288 358 382 420 442 466 480 508	-826662749218
SPT(16)	2254138140607594949	0 30 50 74 114 182 200 218 234 252 270 338 378 402 422 452	-570227427180
SPT(16)	2254138242752028169	0 34 108 124 132 144 148 180 202 234 238 250 258 274 348 382	-468082993960
TPT(14)	2254138801531577237	0 2 12 14 30 32 90 92 144 146 180 182 252 254	90696555108
STPT(10)	2254138959173937131	0 2 6 8 18 20 30 32 36 38	248338915002
SPT(16)	2254139333631273083	0 14 36 50 78 86 90 108 146 164 168 176 204 218 240 254	622796250954
STPT(12)	2254140010811328089	0 2 30 32 132 134 168 170 270 272 300 302	1299976305960
SPT(16)	2254140934569318463	0 40 54 100 130 154 166 174 196 204 216 240 270 316 330 370	2223734296334