Prime p₀= 1968727969846227857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 4 2 28 2 28 2 40 2 (?)
a_n: 0 2 12 14 114 116 120 122 150 152 180 182 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 10 100 4 28 28 40

SPT(16)	1968727235307821201	0 36 38 66 126 162 212 258 290 336 386 422 482 510 512 548	-734538406656
STPT(10)	1968727273960733717	0 2 12 14 72 74 132 134 144 146	-695885494140
STPT(10)	1968727274857302101	0 2 6 8 18 20 30 32 36 38	-694988925756
SPT(16)	1968727360969466689	0 4 12 18 34 48 70 72 100 102 124 138 154 160 168 172	-608876761168
SPT(16)	1968727654806068309	0 38 44 60 62 72 102 104 108 110 140 150 152 168 174 212	-315040159548
STPT(10)	1968727919276831861	0 2 30 32 78 80 126 128 156 158	-50569395996
SPT(16)	1968728243492700419	0 20 60 78 98 104 108 120 188 200 204 210 230 248 288 308	273646472562
STPT(10)	1968728418523344389	0 2 18 20 30 32 42 44 60 62	448677116532
STPT(10)	1968728566726422047	0 2 30 32 42 44 54 56 84 86	596880194190
STPT(10)	1968729362274209177	0 2 30 32 42 44 54 56 84 86	1392427981320
STPT(10)	1968729458916851999	0 2 18 20 30 32 42 44 60 62	1489070624142