Prime p₀= 1264589781369414749 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: xii5ku
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1264587690657890029	0 4 48 70 88 100 162 204 208 250 312 324 342 364 408 412	-2090711524720
STPT(10)	1264587837443690699	0 2 18 20 30 32 42 44 60 62	-1943925724050
SPT(16)	1264589048547786307	0 10 34 42 76 82 100 132 184 216 234 240 274 282 306 316	-732821628442
TPT(14)	1264589594142502391	0 2 30 32 210 212 240 242 348 350 390 392 408 410	-187226912358
SPT(16)	1264589639856380171	0 6 8 66 80 98 132 146 162 176 210 228 242 300 302 308	-141513034578
SPT(16)	1264589769565485499	0 12 58 100 114 118 142 160 162 180 204 208 222 264 310 322	-11803929250
STPT(10)	1264589897800955807	0 2 12 14 72 74 132 134 144 146	116431541058
SPT(18)	1264590107328449269	0 30 34 42 60 102 118 132 142 240 250 264 280 322 340 348 352 382	325959034520
TPT(14)	1264590292648463531	0 2 48 50 186 188 246 248 258 260 330 332 396 398	511279048782
STPT(10)	1264590319055256647	0 2 24 26 42 44 60 62 84 86	537685841898
SPT(16)	1264590476527040659	0 22 24 58 90 94 118 148 204 234 258 262 294 328 330 352	695157625910