Prime p₀= 2258586661433555597 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=81, k=10, 2 40 2 28 2

SPT(16)	2258585951789753011	0 6 30 40 66 90 112 118 150 156 178 202 228 238 262 268	-709643802586
SPT(16)	2258585973700446757	0 24 70 112 154 210 234 252 292 310 334 390 432 474 520 544	-687733108840
SPT(16)	2258586011984929519	0 40 48 88 102 120 138 144 148 154 172 190 204 244 252 292	-649448626078
TPT(14)	2258586511353939917	0 2 174 176 192 194 204 206 234 236 360 362 384 386	-150079615680
SPT(16)	2258586559565415941	0 2 36 38 56 92 110 138 140 168 186 222 240 242 276 278	-101868139656
SPT(16)	2258586657220255693	0 24 60 70 78 84 88 100 114 126 130 136 144 154 190 214	-4213299904
SPT(16)	2258586762261156653	0 8 14 30 50 98 138 140 174 176 216 264 284 300 306 314	100827601056
STPT(10)	2258586997239216701	0 2 30 32 78 80 126 128 156 158	335805661104
SPT(16)	2258587087182334991	0 8 26 68 98 132 146 188 210 252 266 300 330 372 390 398	425748779394
STPT(10)	2258587284754915727	0 2 30 32 42 44 54 56 84 86	623321360130
STPT(10)	2258587313229226937	0 2 42 44 72 74 102 104 144 146	651795671340