Prime p₀= 2156304987149444177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Landjunge
db: batch=81, k=10, 2 10 2 58 2

SPT(13)	2156304590877135001	0 6 90 108 120 150 168 186 216 228 246 330 336	-396272309176
SPT(16)	2156304818399684377	0 12 40 42 52 60 64 90 166 192 196 204 214 216 244 256	-168749759800
SPT(16)	2156304821643135937	0 22 70 96 112 126 132 186 226 280 286 300 316 342 390 412	-165506308240
SPT(16)	2156304870251933327	0 2 12 26 44 54 66 86 150 170 182 192 210 224 234 236	-116897510850
SPT(16)	2156304886439912239	0 12 28 42 52 84 94 118 174 198 208 240 250 264 280 292	-100709531938
SPT(16)	2156304945018467549	0 14 20 98 144 150 164 168 224 228 242 248 294 372 378 392	-42130976628
STPT(10)	2156305007132037659	0 2 42 44 60 62 78 80 120 122	19982593482
STPT(10)	2156305890767057969	0 2 18 20 30 32 42 44 60 62	903617613792
STPT(10)	2156305989206106677	0 2 30 32 60 62 90 92 120 122	1002056662500
STPT(12)	2156306170786219787	0 2 24 26 30 32 54 56 60 62 84 86	1183636775610
STPT(10)	2156306778928178477	0 2 30 32 42 44 54 56 84 86	1791778734300