Prime p₀= 1539929213132187221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 52 2 4 2 28 2 52 2 28 2 (?)
a_n: 0 2 66 68 120 122 126 128 156 158 210 212 240 242
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: 242
Found by: biodoc
db: batch=78, k=14, 64 52 4 28 52 28

SPT(16)	1539927267250762829	0 18 62 80 90 98 138 140 192 194 234 242 252 270 314 332	-1945881424392
STPT(10)	1539927548538728651	0 2 30 32 78 80 126 128 156 158	-1664593458570
TPT(14)	1539927774870457667	0 2 120 122 294 296 312 314 324 326 342 344 354 356	-1438261729554
STPT(10)	1539928293775855349	0 2 42 44 60 62 78 80 120 122	-919356331872
STPT(10)	1539928315931135951	0 2 6 8 18 20 30 32 36 38	-897201051270
SPT(16)	1539928508594634659	0 12 14 18 20 50 62 74 78 90 102 132 134 138 140 152	-704537552562
SPT(16)	1539929421327445111	0 18 22 36 46 60 82 88 120 126 148 162 172 186 190 208	208195257890
TPT(14)	1539929768370470129	0 2 72 74 78 80 90 92 102 104 132 134 162 164	555238282908
TPT(14)	1539929787794125961	0 2 126 128 186 188 270 272 288 290 336 338 468 470	574661938740
TPT(14)	1539929812181206751	0 2 60 62 180 182 270 272 336 338 516 518 600 602	599049019530
STPT(10)	1539930010527837791	0 2 36 38 78 80 120 122 156 158	797395650570