Prime p₀= 1264423516195284059 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1264422463785644477	0 2 30 32 42 44 54 56 84 86	-1052409639582
TPT(14)	1264422518189702489	0 2 72 74 78 80 198 200 258 260 300 302 312 314	-998005581570
SPT(16)	1264422545031301787	0 6 20 26 50 126 176 180 302 306 356 432 456 462 476 482	-971163982272
TPT(14)	1264422592852824857	0 2 84 86 132 134 210 212 270 272 282 284 312 314	-923342459202
SPT(16)	1264422817711407619	0 24 42 70 72 88 114 118 234 238 264 280 282 310 328 352	-698483876440
SPT(16)	1264423370435358097	0 6 24 100 112 132 150 156 280 286 304 324 336 412 430 436	-145759925962
STPT(10)	1264423860761238407	0 2 24 26 42 44 60 62 84 86	344565954348
SPT(16)	1264423899207035363	0 14 30 38 54 86 104 150 254 300 318 350 366 374 390 404	383011751304
SPT(16)	1264423940551050527	0 20 36 44 72 114 122 134 162 174 182 224 252 260 276 296	424355766468
SPT(16)	1264424393839108729	0 24 30 34 42 52 58 64 78 84 90 100 108 112 118 142	877643824670
SPT(16)	1264424650550157763	0 6 18 46 76 108 130 160 186 216 238 270 300 328 340 346	1134354873704