Prime p₀= 1539283496812015781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 88 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 36 38 126 128 138 140 156 158 180 182
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: 182
Found by: Skivelitis2
db: batch=78, k=14, 28 4 88 10 16 22

STPT(10)	1539283201904267759	0 2 30 32 60 62 90 92 120 122	-294907748022
STPT(10)	1539283218145343651	0 2 36 38 78 80 120 122 156 158	-278666672130
SPT(16)	1539283344995591939	0 42 44 74 104 170 198 212 300 314 342 408 438 468 470 512	-151816423842
SPT(16)	1539283425567758707	0 12 64 82 84 154 160 180 184 204 210 280 282 300 352 364	-71244257074
SPT(16)	1539283456327908121	0 6 12 28 46 48 130 136 162 168 250 252 270 286 292 298	-40484107660
SPT(16)	1539283457277409703	0 14 56 60 66 74 80 98 126 144 150 158 164 168 210 224	-39534606078
TPT(14)	1539283512783623027	0 2 12 14 54 56 114 116 120 122 150 152 210 212	15971607246
SPT(16)	1539283710845047033	0 18 48 60 70 88 118 138 208 228 258 276 286 298 328 346	214033031252
STPT(10)	1539283918278623507	0 2 12 14 42 44 72 74 84 86	421466607726
SPT(18)	1539283949292687751	0 46 58 126 168 216 222 240 252 256 268 286 292 340 382 450 462 508	452480671970
TPT(14)	1539284104909079777	0 2 24 26 42 44 54 56 84 86 150 152 174 176	608097063996