Prime p₀= 2082032442659224331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 16 2 112 2 76 2 70 2 4 2 (?)
a_n: 0 2 48 50 66 68 180 182 258 260 330 332 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 46 16 112 76 70 4

SPT(16)	2082030843001958941	0 78 136 138 186 196 210 240 388 418 432 442 490 492 550 628	-1599657265390
STPT(10)	2082031261966050761	0 2 36 38 78 80 120 122 156 158	-1180693173570
SPT(16)	2082031497965185099	0 22 34 90 112 114 120 222 232 334 340 342 364 420 432 454	-944694039232
STPT(10)	2082031570231041431	0 2 36 38 78 80 120 122 156 158	-872428182900
SPT(16)	2082031577597445251	0 26 72 86 92 140 150 152 180 182 192 240 246 260 306 332	-865061779080
SPT(18)	2082031651851034097	0 36 54 92 104 114 126 144 162 194 212 230 242 252 264 302 320 356	-790808190234
SPT(16)	2082032493869722997	0 36 80 110 114 126 140 182 234 276 290 302 306 336 380 416	51210498666
SPT(16)	2082032585989303807	0 30 34 82 90 96 100 150 226 276 280 286 294 342 346 376	143330079476
SPT(16)	2082032935043257139	0 12 54 80 84 108 152 182 210 240 284 308 312 338 380 392	492384032808
SPT(16)	2082033016989349367	0 6 30 32 104 110 132 210 296 374 396 402 474 476 500 506	574330125036
SPT(13)	2082033057293469949	0 30 54 60 114 120 162 204 210 264 270 294 324	614634245618