Prime p₀= 3963147472309431431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 136 2 22 2 16 2 40 2 64 2 (?)
a_n: 0 2 18 20 156 158 180 182 198 200 240 242 306 308
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: 308
Found by: Dingo
db: batch=84, k=14, 16 136 22 16 40 64

SPT(16)	3963145863821924177	0 12 56 102 126 132 140 192 230 282 290 296 320 366 410 422	-1608487507254
SPT(16)	3963145984730123677	0 12 52 54 132 136 160 246 250 336 360 364 442 444 484 496	-1487579307754
TPT(16)	3963146306458033031	0 2 198 200 306 308 330 332 336 338 366 368 390 392 408 410	-1165851398400
SPT(16)	3963146689345680607	0 4 16 24 40 60 96 114 346 364 400 420 436 444 456 460	-782963750824
SPT(16)	3963146825863762919	0 20 50 54 92 152 174 180 182 188 210 270 308 312 342 362	-646445668512
STPT(10)	3963147219116567561	0 2 30 32 78 80 126 128 156 158	-253192863870
TPT(14)	3963147745080842387	0 2 12 14 42 44 60 62 102 104 144 146 222 224	272771410956
SPT(16)	3963148848028626647	0 2 20 24 72 84 132 230 234 332 380 392 440 444 462 464	1375719195216
SPT(16)	3963148860263884517	0 2 32 50 66 74 84 90 116 122 132 140 156 174 204 206	1387954453086
SPT(16)	3963149088401491589	0 14 20 24 74 84 90 102 170 182 188 198 248 252 258 272	1616092060158
STPT(10)	3963149255385624971	0 2 6 8 18 20 30 32 36 38	1783076193540