Prime p₀= 2767378814814544871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 10 2 58 2 94 2 28 2 (?)
a_n: 0 2 66 68 108 110 120 122 180 182 276 278 306 308
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: 308
Found by: JayPi
db: batch=82, k=14, 64 40 10 58 94 28

SPT(16)	2767377388012523857	0 42 54 60 64 114 132 174 280 322 340 390 394 400 412 454	-1426802021014
SPT(16)	2767378026959755373	0 30 80 98 104 110 114 168 176 230 234 240 246 264 314 344	-787854789498
STPT(10)	2767378047101407679	0 2 18 20 30 32 42 44 60 62	-767713137192
STPT(10)	2767378173528758849	0 2 42 44 90 92 138 140 180 182	-641285786022
STPT(10)	2767378576728164381	0 2 90 92 168 170 246 248 336 338	-238086380490
STPT(10)	2767378702896287279	0 2 48 50 60 62 72 74 120 122	-111918257592
SPT(16)	2767378827719047687	0 22 36 46 52 66 106 120 136 150 190 204 210 220 234 256	12904502816
STPT(10)	2767379173033661939	0 2 18 20 30 32 42 44 60 62	358219117068
TPT(14)	2767379370257599187	0 2 30 32 180 182 234 236 252 254 270 272 312 314	555443054316
STPT(10)	2767379387331270377	0 2 12 14 42 44 72 74 84 86	572516725506
SPT(13)	2767380002301010781	0 12 60 72 90 132 156 180 222 240 252 300 312	1187486465910