Prime p₀= 2343625524926122769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2343623763447328807	0 4 30 40 96 106 130 142 144 156 180 190 246 256 282 286	-1761478793962
SPT(16)	2343623833402773661	0 6 22 36 76 106 120 136 276 292 306 336 376 390 406 412	-1691523349108
SPT(16)	2343624147603489451	0 18 46 78 82 112 156 172 246 262 306 336 340 372 400 418	-1377322633318
SPT(16)	2343624776838098267	0 42 54 90 150 156 164 170 276 282 290 296 356 392 404 446	-748088024502
SPT(16)	2343625106048933627	0 6 42 60 86 96 140 144 182 186 230 240 266 284 320 326	-418877189142
STPT(10)	2343625408004688989	0 2 18 20 30 32 42 44 60 62	-116921433780
SPT(16)	2343625581474568057	0 16 30 36 60 130 150 186 196 232 252 322 346 352 366 382	56548445288
STPT(10)	2343625734497968001	0 2 6 8 48 50 90 92 96 98	209571845232
STPT(10)	2343626712862829741	0 2 6 8 48 50 90 92 96 98	1187936706972
SPT(13)	2343626829045616507	0 54 84 96 150 156 180 204 210 264 276 306 360	1304119493738
SPT(16)	2343628428989728607	0 72 104 110 152 182 192 210 236 254 264 294 336 342 374 446	2904063605838