Prime p₀= 2082027416446161647 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 88 2 4 2 22 2 (?)
a_n: 0 2 72 74 84 86 114 116 204 206 210 212 234 236
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: 236
Found by: ChUcK
db: batch=80, k=14, 70 10 28 88 4 22

SPT(16)	2082026492591985553	0 54 96 180 210 216 228 256 258 286 298 304 334 418 460 514	-923854176094
SPT(16)	2082026513815829753	0 50 54 74 84 104 138 146 168 176 210 230 240 260 264 314	-902630331894
STPT(10)	2082026804277431927	0 2 24 26 42 44 60 62 84 86	-612168729720
STPT(10)	2082026967545697017	0 2 24 26 42 44 60 62 84 86	-448900464630
TPT(14)	2082027233645856197	0 2 42 44 54 56 72 74 84 86 150 152 180 182	-182800305450
SPT(16)	2082027302711185861	0 22 42 52 66 78 126 150 208 232 280 292 306 316 336 358	-113734975786
TPT(14)	2082027526715498051	0 2 126 128 138 140 156 158 240 242 258 260 306 308	110269336404
TPT(14)	2082027865421437949	0 2 12 14 72 74 108 110 198 200 210 212 222 224	448975276302
STPT(10)	2082028155623146427	0 2 12 14 72 74 132 134 144 146	739176984780
STPT(10)	2082028238395610147	0 2 24 26 42 44 60 62 84 86	821949448500
STPT(10)	2082028416905580917	0 2 12 14 72 74 132 134 144 146	1000459419270