Prime p₀= 2310174376380612557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 10 2 16 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 72 74 90 92
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 92
Found by: FritzB
db: batch=81, k=14, 10 16 22 4 10 16

SPT(16)	2310171995377493783	0 8 60 86 98 116 138 144 170 176 198 216 228 254 306 314	-2381003118774
STPT(10)	2310172254485172989	0 2 18 20 30 32 42 44 60 62	-2121895439568
STPT(10)	2310172303383123041	0 2 36 38 78 80 120 122 156 158	-2072997489516
SPT(16)	2310172325898724897	0 12 16 46 82 142 156 162 214 220 234 294 330 360 364 376	-2050481887660
STPT(10)	2310172939249312349	0 2 42 44 60 62 78 80 120 122	-1437131300208
SPT(16)	2310173104438667987	0 12 26 30 32 36 50 72 140 162 176 180 182 186 200 212	-1271941944570
STPT(10)	2310174398909069897	0 2 12 14 42 44 72 74 84 86	22528457340
STPT(10)	2310174850144776281	0 2 6 8 18 20 30 32 36 38	473764163724
TPT(14)	2310175517449585001	0 2 66 68 108 110 138 140 150 152 228 230 270 272	1141068972444
SPT(16)	2310175706422104601	0 6 10 12 16 36 40 66 82 108 112 132 136 138 142 148	1330041492044
STPT(10)	2310176124093292619	0 2 48 50 90 92 132 134 180 182	1747712680062