Prime p₀= 1531165002246214721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: biodoc
db: batch=78, k=10, 2 76 2 58 2

TPT(14)	1531162421813231069	0 2 78 80 90 92 120 122 132 134 198 200 258 260	-2580432983652
STPT(10)	1531163053480576721	0 2 6 8 18 20 30 32 36 38	-1948765638000
SPT(16)	1531163242693810951	0 18 46 58 60 78 88 102 106 120 130 148 150 162 190 208	-1759552403770
SPT(16)	1531163684602201423	0 4 28 60 78 118 120 138 190 208 210 250 268 300 324 328	-1317644013298
STPT(10)	1531163877094254839	0 2 42 44 60 62 78 80 120 122	-1125151959882
STPT(10)	1531163897254834691	0 2 30 32 60 62 90 92 120 122	-1104991380030
STPT(10)	1531165345700569919	0 2 18 20 30 32 42 44 60 62	343454355198
STPT(10)	1531165471765605857	0 2 30 32 42 44 54 56 84 86	469519391136
STPT(10)	1531165497821959301	0 2 30 32 78 80 126 128 156 158	495575744580
STPT(10)	1531165680210986891	0 2 36 38 78 80 120 122 156 158	677964772170
SPT(16)	1531165728360273661	0 12 40 60 76 78 132 160 348 376 430 432 448 468 496 508	726114058940