Prime p₀= 2539250673870268199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 172 2 76 2 88 2 16 2 (?)
a_n: 0 2 72 74 78 80 252 254 330 332 420 422 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 70 4 172 76 88 16

SPT(16)	2539249366949755513	0 28 58 84 100 120 144 174 184 214 238 258 274 300 330 358	-1306920512686
SPT(16)	2539249479809426203	0 28 30 58 88 100 108 114 124 130 138 150 180 208 210 238	-1194060841996
SPT(16)	2539249550573504693	0 8 14 30 56 60 150 176 228 254 344 348 374 390 396 404	-1123296763506
SPT(16)	2539249668033756439	0 10 48 72 82 114 124 138 154 168 178 210 220 244 282 292	-1005836511760
SPT(16)	2539249867986970529	0 30 44 68 74 132 158 182 240 264 290 348 354 378 392 422	-805883297670
STPT(10)	2539250661969800321	0 2 6 8 48 50 90 92 96 98	-11900467878
SPT(16)	2539250731428000619	0 22 64 82 124 130 240 250 294 304 414 420 462 480 522 544	57557732420
SPT(16)	2539250967415264727	0 6 72 140 182 212 312 342 380 410 510 540 582 650 716 722	293544996528
STPT(10)	2539251262946754371	0 2 36 38 78 80 120 122 156 158	589076486172
STPT(10)	2539251501210846839	0 2 18 20 30 32 42 44 60 62	827340578640
SPT(16)	2539251577365494923	0 24 28 46 84 130 136 156 178 198 204 250 288 306 310 334	903495226724