Prime p₀= 2854399148856322679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 160 2 16 2 10 2 (?)
a_n: 0 2 78 80 108 110 138 140 300 302 318 320 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 76 28 28 160 16 10

SPT(16)	2854397763390305213	0 14 26 48 74 116 138 174 230 266 288 330 356 378 390 404	-1385466017466
STPT(10)	2854398109807324007	0 2 54 56 72 74 90 92 144 146	-1039048998672
TPT(14)	2854398308108168147	0 2 72 74 144 146 210 212 264 266 282 284 300 302	-840748154532
STPT(10)	2854398380232741071	0 2 36 38 78 80 120 122 156 158	-768623581608
STPT(10)	2854398882208290017	0 2 42 44 72 74 102 104 144 146	-266648032662
SPT(16)	2854398919194004957	0 12 34 42 52 60 90 102 112 124 154 162 172 180 202 214	-229662317722
STPT(10)	2854399557976607489	0 2 30 32 60 62 90 92 120 122	409120284810
STPT(10)	2854399955871731537	0 2 84 86 132 134 180 182 264 266	807015408858
STPT(10)	2854400240623115927	0 2 30 32 42 44 54 56 84 86	1091766793248
SPT(16)	2854400859471697427	0 30 50 66 80 84 156 194 276 314 386 390 404 420 440 470	1710615374748
STPT(10)	2854401648160551887	0 2 30 32 72 74 114 116 144 146	2499304229208