Prime p₀= 2783311031832647807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 130 2 4 2 22 2 16 2 (?)
a_n: 0 2 30 32 72 74 204 206 210 212 234 236 252 254
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: [SG-FC] hl
db: batch=82, k=14, 28 40 130 4 22 16

STPT(10)	2783308626499641269	0 2 42 44 120 122 198 200 240 242	-2405333006538
SPT(16)	2783309284528188601	0 16 28 30 42 70 82 142 246 306 318 346 358 360 372 388	-1747304459206
STPT(10)	2783309438130245987	0 2 30 32 42 44 54 56 84 86	-1593702401820
SPT(16)	2783310323394246077	0 6 14 42 50 92 102 116 120 134 144 186 194 222 230 236	-708438401730
SPT(16)	2783310628736142871	0 22 60 72 78 112 126 148 150 172 186 220 226 238 276 298	-403096504936
STPT(12)	2783310969508839167	0 2 12 14 54 56 60 62 102 104 114 116	-62323808640
SPT(16)	2783311075146358877	0 14 24 32 42 60 66 116 120 170 176 194 204 212 222 236	43313711070
SPT(16)	2783311904584018253	0 20 24 56 90 110 116 140 144 168 174 194 228 260 264 284	872751370446
STPT(10)	2783312103778557227	0 2 30 32 60 62 90 92 120 122	1071945909420
SPT(16)	2783312463654535699	0 12 24 34 102 112 118 124 138 144 150 160 228 238 250 262	1431821887892
SPT(18)	2783312736031970783	0 20 68 110 128 134 168 174 188 246 260 266 300 306 324 366 414 434	1704199322976