Prime p₀= 2098643560776888449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 148 2 22 2 34 2 (?)
a_n: 0 2 30 32 42 44 78 80 228 230 252 254 288 290
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: 290
Found by: Landjunge
db: batch=80, k=14, 28 10 34 148 22 34

SPT(16)	2098642006267752181	0 12 18 22 52 96 126 136 162 172 202 246 276 280 286 298	-1554509136268
STPT(10)	2098642091643072257	0 2 60 62 72 74 84 86 144 146	-1469133816192
SPT(16)	2098642397710295527	0 4 10 34 72 94 124 216 220 312 342 364 402 426 432 436	-1163066592922
STPT(10)	2098642428597550679	0 2 18 20 30 32 42 44 60 62	-1132179337770
STPT(10)	2098642557398905877	0 2 72 74 102 104 132 134 204 206	-1003377982572
STPT(10)	2098643461809306407	0 2 30 32 72 74 114 116 144 146	-98967582042
STPT(10)	2098643591272607681	0 2 30 32 78 80 126 128 156 158	30495719232
SPT(16)	2098643711996629669	0 28 42 82 130 160 202 222 280 300 342 372 420 460 474 502	151219741220
SPT(16)	2098645020191139467	0 36 50 56 62 132 134 144 302 312 314 384 390 396 410 446	1459414251018
STPT(10)	2098645038826315919	0 2 18 20 30 32 42 44 60 62	1478049427470
STPT(10)	2098645405821803099	0 2 18 20 30 32 42 44 60 62	1845044914650