Prime p₀= 2178789534527706011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(20)	2178787576445842963	0 34 66 94 108 138 144 168 184 196 198 210 226 250 256 286 300 328 360 394	-1958081863048
STPT(10)	2178787590894345659	0 2 42 44 90 92 138 140 180 182	-1943633360352
SPT(16)	2178788105388709201	0 10 30 48 52 58 100 126 142 168 210 216 220 238 258 268	-1429138996810
SPT(16)	2178788879057364331	0 6 36 70 118 142 160 162 226 228 246 270 318 352 382 388	-655470341680
SPT(16)	2178789084975443411	0 6 20 32 80 86 116 120 128 132 162 168 216 228 242 248	-449552262600
STPT(10)	2178789432635011307	0 2 42 44 72 74 102 104 144 146	-101892694704
SPT(16)	2178789663986518397	0 14 26 66 86 104 140 162 224 246 282 300 320 360 372 386	129458812386
STPT(10)	2178789666097019387	0 2 24 26 42 44 60 62 84 86	131569313376
SPT(16)	2178789732756284339	0 20 24 42 48 54 60 164 168 272 278 284 290 308 312 332	198228578328
STPT(10)	2178790159786715777	0 2 30 32 42 44 54 56 84 86	625259009766
SPT(16)	2178790446720470701	0 10 28 42 52 88 96 130 138 172 180 216 226 240 258 268	912192764690