Prime p₀= 4044968325931368359 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: Centaur
db: batch=84, k=10, 2 16 2 10 2

STPT(10)	4044966002966278967	0 2 132 134 192 194 252 254 384 386	-2322965089392
SPT(16)	4044966106897661951	0 26 36 42 92 152 162 180 272 290 300 360 410 416 426 452	-2219033706408
STPT(10)	4044966143778212699	0 2 48 50 90 92 132 134 180 182	-2182153155660
SPT(16)	4044966766748571553	0 16 28 88 184 198 240 250 294 304 346 360 456 516 528 544	-1559182796806
STPT(10)	4044967297035195239	0 2 18 20 60 62 102 104 120 122	-1028896173120
TPT(14)	4044967984419931337	0 2 42 44 150 152 222 224 270 272 324 326 420 422	-341511437022
STPT(10)	4044968460347731199	0 2 48 50 90 92 132 134 180 182	134416362840
TPT(14)	4044968783069781797	0 2 42 44 72 74 84 86 114 116 294 296 312 314	457138413438
SPT(16)	4044969008424530507	0 14 24 54 60 114 116 146 150 180 182 236 242 272 282 296	682493162148
SPT(16)	4044969060867389341	0 12 30 42 52 66 82 96 112 126 142 156 166 178 196 208	734936020982
TPT(14)	4044969072421717637	0 2 42 44 114 116 222 224 240 242 264 266 372 374	746490349278