Prime p₀= 2767423583421893579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 28 2 10 2 16 2 58 2 (?)
a_n: 0 2 72 74 78 80 108 110 120 122 138 140 198 200
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: 200
Found by: [SG-FC] hl
db: batch=82, k=14, 70 4 28 10 16 58

SPT(16)	2767421763583795973	0 30 48 114 116 120 140 156 188 204 224 228 230 296 314 344	-1819838097606
STPT(10)	2767421846559951611	0 2 30 32 60 62 90 92 120 122	-1736861941968
SPT(16)	2767421847864304987	0 42 52 114 126 132 156 180 196 220 244 250 262 324 334 376	-1735557588592
SPT(16)	2767422206069485123	0 34 60 64 84 90 108 130 168 190 208 214 234 238 264 298	-1377352408456
SPT(13)	2767422949182578563	0 30 48 78 90 114 144 174 198 210 240 258 288	-634239315016
SPT(16)	2767422991147081931	0 6 32 42 110 126 170 180 242 252 296 312 380 390 416 422	-592274811648
SPT(16)	2767423752441587831	0 12 72 92 98 140 168 212 228 272 300 342 348 368 428 440	169019694252
STPT(10)	2767423775163584819	0 2 18 20 60 62 102 104 120 122	191741691240
STPT(10)	2767423997496943427	0 2 30 32 42 44 54 56 84 86	414075049848
TPT(14)	2767424483931137111	0 2 30 32 48 50 96 98 156 158 168 170 180 182	900509243532
STPT(12)	2767424528396966309	0 2 42 44 60 62 222 224 240 242 282 284	944975072730