Prime p₀= 1459440799747449599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 70 2 16 2 82 2 118 2 (?)
a_n: 0 2 42 44 78 80 150 152 168 170 252 254 372 374
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: 374
Found by: [SG-2W]Kurzer
db: batch=78, k=14, 40 34 70 16 82 118

SPT(16)	1459438817213636579	0 8 84 104 108 138 180 188 264 272 314 344 348 368 444 452	-1982533813020
TPT(14)	1459439094920213177	0 2 180 182 222 224 330 332 402 404 432 434 504 506	-1704827236422
SPT(20)	1459439301458372141	0 50 68 90 116 140 162 168 216 248 330 362 410 416 438 462 488 510 528 578	-1498289077458
SPT(16)	1459439557574625461	0 2 48 86 102 126 156 216 242 302 332 356 372 410 456 458	-1242172824138
SPT(16)	1459440491755282709	0 18 30 72 78 84 98 102 110 114 128 134 140 182 194 212	-307992166890
STPT(10)	1459440650814486407	0 2 12 14 42 44 72 74 84 86	-148932963192
SPT(16)	1459441420031164567	0 6 34 64 72 84 106 154 162 210 232 244 252 282 310 316	620283714968
STPT(10)	1459442186890477001	0 2 36 38 78 80 120 122 156 158	1387143027402
SPT(16)	1459442246072258101	0 40 66 120 142 148 180 190 198 208 240 246 268 322 348 388	1446324808502
SPT(18)	1459442428491355409	0 2 24 30 38 114 122 132 150 272 290 300 308 384 392 398 420 422	1628743905810
SPT(16)	1459442500706161393	0 34 90 100 130 136 174 204 226 256 294 300 330 340 396 430	1700958711794