Prime p₀= 2971580129566154789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 226 2 10 2 64 2 40 2 40 2 (?)
a_n: 0 2 42 44 270 272 282 284 348 350 390 392 432 434
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: 434
Found by: [SG-FC] hl
db: batch=82, k=14, 40 226 10 64 40 40

STPT(10)	2971579280560869227	0 2 60 62 72 74 84 86 144 146	-849005285562
SPT(16)	2971579400695552741	0 28 30 70 78 108 112 132 136 156 160 190 198 238 240 268	-728870602048
STPT(10)	2971579682374055897	0 2 42 44 72 74 102 104 144 146	-447192098892
STPT(10)	2971579839172714769	0 2 18 20 30 32 42 44 60 62	-290393440020
SPT(16)	2971579867716827557	0 66 100 124 130 144 150 196 210 256 262 276 282 306 340 406	-261849327232
STPT(12)	2971579934715025889	0 2 12 14 48 50 132 134 168 170 180 182	-194851128900
STPT(10)	2971580576131981067	0 2 42 44 72 74 102 104 144 146	446565826278
SPT(16)	2971580800823001571	0 18 28 36 40 46 96 102 106 112 162 168 172 180 190 208	671256846782
STPT(10)	2971580872613373257	0 2 12 14 42 44 72 74 84 86	743047218468
SPT(16)	2971581570324602063	0 30 50 56 78 104 108 138 206 236 240 266 288 294 314 344	1440758447274
STPT(10)	2971581838443280757	0 2 30 32 60 62 90 92 120 122	1708877125968