Prime p₀= 949796456665770137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Theadalus
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	949795879982753273	0 30 66 84 98 116 164 186 218 240 288 306 320 338 374 404	-576683016864
SPT(16)	949795965896244749	0 32 60 62 78 104 128 132 200 204 228 254 270 272 300 332	-490769525388
SPT(16)	949795997126672359	0 10 48 60 88 130 178 210 328 360 408 450 478 490 528 538	-459539097778
TPT(14)	949796090647262657	0 2 30 32 54 56 120 122 162 164 234 236 282 284	-366018507480
STPT(10)	949796200359826019	0 2 48 50 90 92 132 134 180 182	-256305944118
STPT(10)	949796218095380429	0 2 42 44 90 92 138 140 180 182	-238570389708
SPT(16)	949796688659031701	0 12 36 50 60 66 90 116 126 152 176 182 192 206 230 242	231993261564
SPT(16)	949796894915041727	0 14 32 42 50 102 114 162 242 290 302 354 362 372 390 404	438249271590
STPT(10)	949797033216194897	0 2 24 26 42 44 60 62 84 86	576550424760
SPT(16)	949797043773001951	0 18 22 28 30 36 52 70 108 126 142 148 150 156 160 178	587107231814
SPT(16)	949797276433053203	0 8 24 30 44 84 86 134 150 198 200 240 254 260 276 284	819767283066