Prime p₀= 1831347819834966887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Paul
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1831347091156945433	0 14 30 38 44 66 84 128 276 320 338 360 366 374 390 404	-728678021454
SPT(16)	1831347125080058021	0 8 38 50 56 80 86 120 218 252 258 282 288 300 330 338	-694754908866
SPT(16)	1831347211146022331	0 42 68 80 110 150 168 182 276 290 308 348 378 390 416 458	-608688944556
STPT(10)	1831347229086464987	0 2 60 62 72 74 84 86 144 146	-590748501900
SPT(16)	1831347439580067811	0 6 36 78 112 120 138 202 336 400 418 426 460 502 532 538	-380254899076
STPT(10)	1831347774409745321	0 2 36 38 78 80 120 122 156 158	-45425221566
STPT(10)	1831347863888143871	0 2 6 8 48 50 90 92 96 98	44053176984
STPT(10)	1831348053408759131	0 2 36 38 78 80 120 122 156 158	233573792244
TPT(14)	1831348529718636767	0 2 210 212 222 224 354 356 480 482 504 506 522 524	709883669880
SPT(16)	1831348573854959261	0 32 86 116 128 138 152 182 186 216 230 240 252 282 336 368	754019992374
SPT(16)	1831349191300991393	0 26 36 44 96 98 108 170 174 236 246 248 300 308 318 344	1371466024506