Prime p₀= 2709050329573717979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 40 2 70 2 58 2 (?)
a_n: 0 2 42 44 48 50 78 80 120 122 192 194 252 254
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: 254
Found by: conf [MM]
db: batch=82, k=14, 40 4 28 40 70 58

STPT(10)	2709048992573387879	0 2 18 20 30 32 42 44 60 62	-1337000330100
STPT(10)	2709049016599814891	0 2 30 32 60 62 90 92 120 122	-1312973903088
STPT(10)	2709049524697734269	0 2 18 20 30 32 42 44 60 62	-804875983710
SPT(16)	2709049630962014111	0 30 116 122 146 158 198 210 248 260 300 312 336 342 428 458	-698611703868
SPT(16)	2709049770831051317	0 14 24 36 90 102 104 150 176 222 224 236 290 302 312 326	-558742666662
SPT(16)	2709049809564662923	0 6 16 34 46 84 88 100 144 156 160 198 210 228 238 244	-520009055056
TPT(14)	2709050496343993721	0 2 6 8 150 152 168 170 210 212 348 350 360 362	166770275742
SPT(16)	2709050543923930681	0 48 52 82 88 100 102 118 150 166 168 180 186 216 220 268	214350212702
SPT(16)	2709051588183244429	0 12 28 52 130 178 198 210 280 292 312 360 438 462 478 490	1258609526450
TPT(14)	2709051756757643111	0 2 36 38 66 68 78 80 90 92 138 140 330 332	1427183925132
STPT(12)	2709052422322965707	0 2 30 32 60 62 102 104 132 134 162 164	2092749247728