Prime p₀= 2258586997239216701 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JayPi
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2258586011984929519	0 40 48 88 102 120 138 144 148 154 172 190 204 244 252 292	-985254287182
TPT(14)	2258586511353939917	0 2 174 176 192 194 204 206 234 236 360 362 384 386	-485885276784
SPT(16)	2258586559565415941	0 2 36 38 56 92 110 138 140 168 186 222 240 242 276 278	-437673800760
SPT(16)	2258586657220255693	0 24 60 70 78 84 88 100 114 126 130 136 144 154 190 214	-340018961008
STPT(10)	2258586661433555597	0 2 42 44 72 74 102 104 144 146	-335805661104
SPT(16)	2258586762261156653	0 8 14 30 50 98 138 140 174 176 216 264 284 300 306 314	-234978060048
SPT(16)	2258587087182334991	0 8 26 68 98 132 146 188 210 252 266 300 330 372 390 398	89943118290
STPT(10)	2258587284754915727	0 2 30 32 42 44 54 56 84 86	287515699026
STPT(10)	2258587313229226937	0 2 42 44 72 74 102 104 144 146	315990010236
SPT(13)	2258587521838857221	0 12 18 138 150 180 270 360 390 402 522 528 540	524599640520
SPT(16)	2258587620143498057	0 42 50 102 122 126 156 186 266 296 326 330 350 402 410 452	622904281356