Prime p₀= 1539927774870457667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 172 2 16 2 10 2 16 2 10 2 (?)
a_n: 0 2 120 122 294 296 312 314 324 326 342 344 354 356
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: 356
Found by: biodoc
db: batch=78, k=14, 118 172 16 10 16 10

STPT(10)	1539926935857554987	0 2 12 14 42 44 72 74 84 86	-839012902680
SPT(16)	1539926938091609759	0 60 80 108 110 180 230 264 278 312 362 432 434 462 482 542	-836778847908
TPT(14)	1539927002231353247	0 2 204 206 360 362 402 404 624 626 744 746 750 752	-772639104420
SPT(16)	1539927152618453341	0 52 130 142 162 172 190 208 210 228 246 256 276 288 366 418	-622252004326
SPT(16)	1539927267250762829	0 18 62 80 90 98 138 140 192 194 234 242 252 270 314 332	-507619694838
STPT(10)	1539927548538728651	0 2 30 32 78 80 126 128 156 158	-226331729016
STPT(10)	1539928293775855349	0 2 42 44 60 62 78 80 120 122	518905397682
STPT(10)	1539928315931135951	0 2 6 8 18 20 30 32 36 38	541060678284
SPT(16)	1539928508594634659	0 12 14 18 20 50 62 74 78 90 102 132 134 138 140 152	733724176992
TPT(14)	1539929213132187221	0 2 66 68 120 122 126 128 156 158 210 212 240 242	1438261729554
SPT(16)	1539929421327445111	0 18 22 36 46 60 82 88 120 126 148 162 172 186 190 208	1646456987444