Prime p₀= 2733481863541320119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 4 2 58 2 22 2 28 2 58 2 (?)
a_n: 0 2 132 134 138 140 198 200 222 224 252 254 312 314
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: 314
Found by: fzs600
db: batch=82, k=14, 130 4 58 22 28 58

SPT(16)	2733479380766722717	0 34 72 76 112 120 184 210 226 252 316 324 360 364 402 436	-2482774597402
SPT(16)	2733480110521266499	0 28 112 150 172 184 222 228 274 280 318 330 352 390 474 502	-1753020053620
STPT(10)	2733480173561510039	0 2 42 44 60 62 78 80 120 122	-1689979810080
STPT(10)	2733480578713314509	0 2 48 50 60 62 72 74 120 122	-1284828005610
SPT(16)	2733481723662914953	0 10 36 88 94 114 150 204 340 394 430 450 456 508 534 544	-139878405166
SPT(16)	2733481756877586193	0 6 58 66 70 94 118 136 138 156 180 204 208 216 268 274	-106663733926
STPT(10)	2733481884403606109	0 2 42 44 90 92 138 140 180 182	20862285990
STPT(10)	2733482328094708637	0 2 42 44 72 74 102 104 144 146	464553388518
SPT(16)	2733482703503778937	0 36 64 84 106 142 156 222 274 340 354 390 412 432 460 496	839962458818
SPT(16)	2733482801975366981	0 12 42 78 92 108 152 168 290 306 350 366 380 416 446 458	938434046862
SPT(16)	2733482964880102367	0 44 74 114 192 206 230 240 326 336 360 374 452 492 522 566	1101338782248