Prime p₀= 775692276946155389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 46 2 88 2 28 2 10 2 (?)
a_n: 0 2 18 20 72 74 120 122 210 212 240 242 252 254
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: 254
Found by: CThiede
db: batch=73, k=14, 16 52 46 88 28 10

SPT(16)	775689936284662853	0 24 26 114 158 168 174 230 234 290 296 306 350 438 440 464	-2340661492536
STPT(10)	775690332165897431	0 2 6 8 48 50 90 92 96 98	-1944780257958
STPT(10)	775691328516542687	0 2 30 32 42 44 54 56 84 86	-948429612702
SPT(16)	775691370615027787	0 6 64 72 100 114 142 156 160 174 202 216 244 252 310 316	-906331127602
SPT(16)	775691505118124927	0 2 12 54 72 80 90 96 140 146 156 164 182 224 234 236	-771828030462
SPT(16)	775692172444243687	0 34 64 112 114 124 162 174 190 202 240 250 252 300 330 364	-104501911702
STPT(10)	775692303172359827	0 2 42 44 72 74 102 104 144 146	26226204438
SPT(16)	775692499960347661	0 28 46 48 60 70 76 82 96 102 108 118 130 132 150 178	223014192272
STPT(10)	775692596510593217	0 2 30 32 42 44 54 56 84 86	319564437828
SPT(16)	775693067411751347	0 6 36 56 96 110 200 204 206 210 300 314 354 374 404 410	790465595958
SPT(16)	775693166437100273	0 6 24 38 50 74 84 108 116 140 150 174 186 200 218 224	889490944884