Prime p₀= 2798138707590323231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 34 2 22 2 64 2 (?)
a_n: 0 2 30 32 78 80 120 122 156 158 180 182 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 28 46 40 34 22 64

STPT(10)	2798137354735994807	0 2 30 32 42 44 54 56 84 86	-1352854328424
STPT(10)	2798137952083266977	0 2 30 32 60 62 90 92 120 122	-755507056254
STPT(10)	2798137974399892511	0 2 30 32 78 80 126 128 156 158	-733190430720
STPT(12)	2798138133104087819	0 2 12 14 42 44 48 50 78 80 90 92	-574486235412
SPT(16)	2798138215892039369	0 24 68 72 90 104 108 140 222 254 258 272 290 294 338 362	-491698283862
SPT(16)	2798138662786207541	0 6 30 38 66 72 86 108 110 132 146 152 180 188 212 218	-44804115690
SPT(16)	2798138778320247379	0 42 108 142 238 240 264 294 388 418 442 444 540 574 640 682	70729924148
STPT(10)	2798139011055474167	0 2 42 44 72 74 102 104 144 146	303465150936
STPT(10)	2798139156568289069	0 2 48 50 90 92 132 134 180 182	448977965838
STPT(10)	2798139159504528779	0 2 18 20 60 62 102 104 120 122	451914205548
SPT(16)	2798139406098028381	0 6 16 42 48 58 102 162 166 226 270 280 286 312 322 328	698507705150