Prime p₀= 2854176684549203927 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 82 2 4 2 40 2 40 2 4 2 82 2 (?)
a_n: 0 2 84 86 90 92 132 134 174 176 180 182 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 2 82 2 4 2 40 2

STPT(10)	2854175673600822479	0 2 18 20 30 32 42 44 60 62	-1010948381448
STPT(12)	2854175976172435559	0 2 12 14 72 74 78 80 138 140 150 152	-708376768368
TPT(14)	2854176221083974779	0 2 42 44 108 110 168 170 180 182 198 200 210 212	-463465229148
SPT(16)	2854176221969442533	0 20 56 60 80 116 120 164 186 230 234 270 290 294 330 350	-462579761394
STPT(10)	2854176513948744581	0 2 36 38 78 80 120 122 156 158	-170600459346
SPT(16)	2854176580724607067	0 4 30 52 76 156 196 244 252 300 340 420 444 466 492 496	-103824596860
TPT(14)	2854176684549203927	0 2 84 86 90 92 132 134 174 176 180 182 264 266	0
SPT(16)	2854176726967599199	0 12 34 70 88 90 112 144 148 180 202 204 222 258 280 292	42418395272
STPT(10)	2854176916213800797	0 2 42 44 72 74 102 104 144 146	231664596870
STPT(10)	2854177131166860041	0 2 6 8 48 50 90 92 96 98	446617656114
STPT(10)	2854177366276122581	0 2 30 32 60 62 90 92 120 122	681726918654