Prime p₀= 4506409956617960663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 18 36 10 24 6 42 2 42 6 24 10 36 18 20 (?)
a_n: 0 20 38 74 84 108 114 156 158 200 206 230 240 276 294 314
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: [SG-2W]Kurzer
db: batch=85, k=16, 20 18 36 10 24 6 42 2

TPT(14)	4506408576324139451	0 2 66 68 288 290 336 338 360 362 378 380 456 458	-1380293821212
SPT(16)	4506408642573905989	0 12 18 42 78 84 102 132 250 280 298 304 340 364 370 382	-1314044054674
TPT(14)	4506408848877839357	0 2 60 62 102 104 150 152 210 212 252 254 282 284	-1107740121306
SPT(16)	4506409091581542911	0 8 20 50 56 62 72 150 188 266 276 282 288 318 330 338	-865036417752
TPT(14)	4506409646776546889	0 2 42 44 48 50 342 344 408 410 420 422 492 494	-309841413774
SPT(16)	4506409672026745321	0 12 16 42 46 76 100 126 142 168 192 222 226 252 256 268	-284591215342
STPT(10)	4506411194792643749	0 2 18 20 30 32 42 44 60 62	1238174683086
SPT(16)	4506411290792284309	0 34 42 112 120 178 210 262 300 352 384 442 450 520 528 562	1334174323646
SPT(16)	4506411403548159977	0 32 50 132 210 240 252 254 300 302 314 344 422 504 522 554	1446930199314
STPT(10)	4506411639866319047	0 2 42 44 72 74 102 104 144 146	1683248358384
STPT(10)	4506411887288797667	0 2 24 26 42 44 60 62 84 86	1930670837004