Prime p₀= 1539825607857731531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 4 2 10 2 136 2 40 2 (?)
a_n: 0 2 36 38 120 122 126 128 138 140 276 278 318 320
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: 320
Found by: biodoc
db: batch=78, k=14, 34 82 4 10 136 40

SPT(16)	1539824695692043139	0 38 42 80 108 110 122 164 168 210 222 224 252 290 294 332	-912165688392
STPT(10)	1539824739077696081	0 2 6 8 48 50 90 92 96 98	-868780035450
STPT(10)	1539824777313785087	0 2 30 32 72 74 114 116 144 146	-830543946444
SPT(16)	1539824840044236877	0 42 96 102 124 180 196 270 316 390 406 462 484 490 544 586	-767813494654
SPT(16)	1539825288751389307	0 40 64 70 84 90 120 136 180 196 226 232 246 252 276 316	-319106342224
SPT(16)	1539825392980636063	0 84 96 106 136 148 150 156 178 184 186 198 228 238 250 334	-214877095468
TPT(14)	1539825790875165707	0 2 90 92 180 182 222 224 312 314 324 326 342 344	183017434176
SPT(16)	1539826092062263477	0 10 30 52 82 136 174 184 192 202 240 294 324 346 366 376	484204531946
STPT(10)	1539826277740393397	0 2 60 62 72 74 84 86 144 146	669882661866
SPT(16)	1539826474226690219	0 12 20 42 92 98 110 138 212 240 252 258 308 330 338 350	866368958688
STPT(10)	1539826570483998161	0 2 30 32 78 80 126 128 156 158	962626266630