Prime p₀= 1242564343351912349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1242562976598238109	0 38 42 90 168 180 188 224 258 294 302 314 392 440 444 482	-1366753674240
STPT(10)	1242563088267782261	0 2 30 32 78 80 126 128 156 158	-1255084130088
STPT(10)	1242563138360596397	0 2 42 44 72 74 102 104 144 146	-1204991315952
SPT(16)	1242563218531572683	0 14 18 30 158 228 254 260 264 270 296 366 494 506 510 524	-1124820339666
SPT(16)	1242563698414701043	0 28 78 90 120 148 190 196 300 306 348 376 406 418 468 496	-644937211306
SPT(16)	1242563779991630743	0 28 58 64 78 100 124 154 204 234 258 280 294 300 330 358	-563360281606
SPT(16)	1242564444407393333	0 14 30 66 78 90 114 146 228 260 284 296 308 344 360 374	101055480984
SPT(16)	1242564678363764029	0 4 24 120 148 192 198 238 264 304 310 354 382 478 498 502	335011851680
STPT(10)	1242564751905576269	0 2 18 20 60 62 102 104 120 122	408553663920
SPT(16)	1242564770267625397	0 10 24 84 90 112 124 130 216 222 234 256 262 322 336 346	426915713048
SPT(16)	1242564788102057221	0 76 106 120 126 132 162 190 378 406 436 442 448 462 492 568	444750144872