Prime p₀= 2709127964706484757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

STPT(10)	2709125214836218601	0 2 90 92 150 152 210 212 300 302	-2749870266156
SPT(16)	2709125327918169781	0 10 18 78 96 112 130 148 150 168 186 202 220 280 288 298	-2636788314976
STPT(10)	2709125552557730399	0 2 42 44 60 62 78 80 120 122	-2412148754358
STPT(10)	2709125862707279471	0 2 30 32 78 80 126 128 156 158	-2101999205286
SPT(13)	2709127207993079969	0 18 30 60 78 120 144 168 210 228 258 270 288	-756713404788
SPT(16)	2709127786407529537	0 10 42 52 142 162 220 222 334 336 394 414 504 514 546 556	-178298955220
STPT(10)	2709128474864378261	0 2 36 38 78 80 120 122 156 158	510157893504
SPT(16)	2709129473761565249	0 38 68 84 98 110 150 180 248 278 318 330 344 360 390 428	1509055080492
STPT(10)	2709129532876301831	0 2 6 8 18 20 30 32 36 38	1568169817074
STPT(10)	2709129669181341191	0 2 36 38 78 80 120 122 156 158	1704474856434
SPT(16)	2709129852702948079	0 4 18 30 42 72 84 88 114 118 130 160 172 184 198 202	1887996463322