Prime p₀= 1519402017936006299 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=78, k=10, 2 16 2 10 2

SPT(16)	1519400698506502601	0 56 96 132 170 180 188 270 278 360 368 378 416 452 492 548	-1319429503698
STPT(10)	1519400863916359421	0 2 6 8 48 50 90 92 96 98	-1154019646878
TPT(14)	1519400929919790077	0 2 24 26 42 44 54 56 84 86 210 212 240 242	-1088016216222
TPT(14)	1519401149078632247	0 2 24 26 240 242 282 284 360 362 372 374 390 392	-868857374052
STPT(10)	1519401379850807819	0 2 42 44 60 62 78 80 120 122	-638085198480
SPT(16)	1519401406067204173	0 16 24 30 76 100 108 126 148 166 174 198 244 250 258 274	-611868802126
SPT(16)	1519402056864529501	0 10 42 70 112 178 240 250 270 280 342 408 450 478 510 520	38928523202
SPT(16)	1519402062979521823	0 34 70 88 90 186 204 240 244 280 298 394 396 414 450 484	45043515524
SPT(16)	1519402347107410417	0 22 36 42 60 70 106 114 142 150 186 196 214 220 234 256	329171404118
SPT(16)	1519402454763920047	0 46 72 126 142 156 192 244 252 304 340 354 370 424 450 496	436827913748
STPT(10)	1519402518035962529	0 2 12 14 30 32 48 50 60 62	500099956230