Prime p₀= 2157168415151588087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2157167550081714421	0 6 16 28 70 96 102 132 136 166 172 198 240 252 262 268	-865069873666
STPT(10)	2157167578150698887	0 2 12 14 72 74 132 134 144 146	-837000889200
SPT(16)	2157167630144623913	0 18 26 60 108 146 194 204 290 300 348 386 434 468 476 494	-785006964174
SPT(16)	2157167800733016121	0 18 30 36 40 66 70 96 112 138 142 168 172 178 190 208	-614418571966
STPT(10)	2157167888331356321	0 2 36 38 78 80 120 122 156 158	-526820231766
SPT(16)	2157168025788684353	0 30 44 74 90 110 144 168 200 224 258 278 294 324 338 368	-389362903734
SPT(16)	2157168650532056963	0 14 26 68 74 86 98 110 204 216 228 240 246 288 300 314	235380468876
STPT(10)	2157168752237284571	0 2 30 32 78 80 126 128 156 158	337085696484
STPT(10)	2157169037163007199	0 2 12 14 90 92 168 170 180 182	622011419112
SPT(16)	2157169249697041883	0 6 30 140 210 224 228 240 284 296 300 314 384 494 518 524	834545453796
STPT(10)	2157169358157918371	0 2 36 38 78 80 120 122 156 158	943006330284