Prime p₀= 726798666802149857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: marsinph
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	726797502770238127	0 30 70 90 132 142 180 184 222 226 264 274 316 336 376 406	-1164031911730
SPT(16)	726797779118294747	0 2 6 84 90 92 122 134 162 174 204 206 212 290 294 296	-887683855110
SPT(18)	726797799721971449	0 2 42 80 92 108 114 120 164 168 212 218 224 240 252 290 330 332	-867080178408
SPT(16)	726797886156554299	0 10 70 84 112 132 154 234 268 348 370 390 418 432 492 502	-780645595558
TPT(14)	726798047397630539	0 2 60 62 78 80 90 92 102 104 132 134 198 200	-619404519318
SPT(16)	726798239909537141	0 26 78 126 132 168 176 180 218 222 230 266 272 320 372 398	-426892612716
SPT(16)	726798677989231619	0 32 44 50 84 120 144 204 248 308 332 368 402 408 420 452	11187081762
SPT(16)	726799077393659201	0 12 122 156 180 200 210 236 282 308 318 338 362 396 506 518	410591509344
STPT(10)	726799197901209647	0 2 30 32 42 44 54 56 84 86	531099059790
SPT(16)	726799257784378231	0 6 12 102 112 136 160 172 216 228 252 276 286 376 382 388	590982228374
SPT(16)	726799386859299823	0 28 90 108 124 130 136 138 166 168 174 180 196 214 276 304	720057149966