Prime p₀= 1069262363373189299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 64 2 40 2 58 2 28 2 (?)
a_n: 0 2 18 20 42 44 108 110 150 152 210 212 240 242
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: 242
Found by: Skivelitis2
db: batch=76, k=14, 16 22 64 40 58 28

STPT(10)	1069260843173647721	0 2 36 38 78 80 120 122 156 158	-1520199541578
STPT(10)	1069261023203972741	0 2 6 8 18 20 30 32 36 38	-1340169216558
STPT(10)	1069261071719132231	0 2 36 38 78 80 120 122 156 158	-1291654057068
SPT(16)	1069261649956201783	0 6 34 48 70 78 90 130 144 184 196 204 226 240 268 274	-713416987516
SPT(16)	1069261930448489893	0 10 16 58 78 84 100 126 148 174 190 196 216 258 264 274	-432924699406
SPT(16)	1069262114260847971	0 10 22 36 58 60 76 78 100 102 118 120 142 156 168 178	-249112341328
STPT(10)	1069262472013870949	0 2 12 14 90 92 168 170 180 182	108640681650
TPT(14)	1069262734500478379	0 2 42 44 162 164 168 170 252 254 288 290 318 320	371127289080
SPT(16)	1069262735809382819	0 8 12 42 50 122 150 152 258 260 288 360 368 398 402 410	372436193520
STPT(10)	1069262856058936709	0 2 42 44 60 62 78 80 120 122	492685747410
TPT(14)	1069262879484892121	0 2 66 68 78 80 198 200 276 278 318 320 408 410	516111702822