Prime p₀= 1167665681091000101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Theadalus
db: batch=77, k=10, 2 4 2 40 2

STPT(10)	1167664256073465341	0 2 36 38 78 80 120 122 156 158	-1425017534760
STPT(10)	1167664409984401211	0 2 36 38 78 80 120 122 156 158	-1271106598890
SPT(16)	1167664848475263163	0 34 60 78 148 156 174 204 280 310 328 336 406 424 450 484	-832615736938
TPT(14)	1167664937481099719	0 2 48 50 60 62 132 134 138 140 252 254 270 272	-743609900382
STPT(10)	1167665426589273509	0 2 18 20 30 32 42 44 60 62	-254501726592
TPT(14)	1167665611743684461	0 2 18 20 36 38 48 50 78 80 90 92 126 128	-69347315640
STPT(10)	1167665878753482089	0 2 42 44 60 62 78 80 120 122	197662481988
SPT(16)	1167666106705081579	0 24 40 88 138 148 220 232 270 282 354 364 414 462 478 502	425614081478
SPT(16)	1167666181386127471	0 10 60 88 102 118 168 180 340 352 402 418 432 460 510 520	500295127370
STPT(10)	1167666228134680331	0 2 30 32 78 80 126 128 156 158	547043680230
STPT(10)	1167666237238288397	0 2 30 32 42 44 54 56 84 86	556147288296