Prime p₀= 1303449510715586567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 100 2 76 2 28 2 28 2 22 2 (?)
a_n: 0 2 240 242 342 344 420 422 450 452 480 482 504 506
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: 506
Found by: HenkM
db: batch=77, k=14, 238 100 76 28 28 22

STPT(10)	1303448468864856071	0 2 6 8 18 20 30 32 36 38	-1041850730496
SPT(18)	1303448558470287001	0 6 42 48 66 70 142 160 196 222 258 276 348 352 370 376 412 418	-952245299566
SPT(16)	1303448631449096971	0 28 46 88 156 166 196 208 258 270 300 310 378 420 438 466	-879266489596
STPT(10)	1303448967267325181	0 2 30 32 120 122 210 212 240 242	-543448261386
STPT(10)	1303448998224254597	0 2 60 62 72 74 84 86 144 146	-512491331970
STPT(10)	1303449175546213019	0 2 18 20 30 32 42 44 60 62	-335169373548
SPT(16)	1303449916447665949	0 28 40 42 54 70 88 120 172 204 222 238 250 252 264 292	405732079382
SPT(16)	1303450080486093343	0 4 18 40 60 66 108 150 154 196 238 244 264 286 300 304	569770506776
STPT(10)	1303450216312352039	0 2 42 44 120 122 198 200 240 242	705596765472
SPT(16)	1303450303808622869	0 12 32 84 92 102 120 128 144 152 170 180 188 240 260 272	793093036302
SPT(16)	1303450313611911943	0 76 130 174 186 190 244 280 294 330 384 388 400 444 498 574	802896325376