Prime p₀= 2676315042538066619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 58 2 64 2 40 2 10 2 (?)
a_n: 0 2 42 44 72 74 132 134 198 200 240 242 252 254
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: biodoc
db: batch=82, k=14, 40 28 58 64 40 10

SPT(16)	2676313738390464923	0 38 48 60 126 128 164 174 200 210 246 248 314 326 336 374	-1304147601696
SPT(16)	2676314103571454173	0 6 10 46 66 76 126 130 150 154 204 214 234 270 274 280	-938966612446
SPT(16)	2676314292345696311	0 2 38 66 86 108 116 140 168 192 200 222 242 270 306 308	-750192370308
STPT(10)	2676314440257127721	0 2 6 8 18 20 30 32 36 38	-602280938898
STPT(10)	2676314564742099887	0 2 60 62 72 74 84 86 144 146	-477795966732
SPT(16)	2676314583666026977	0 42 76 120 202 204 226 256 270 300 322 324 406 450 484 526	-458872039642
SPT(16)	2676315084903703987	0 22 64 76 90 132 186 190 216 220 274 316 330 342 384 406	42365637368
TPT(14)	2676315617169846731	0 2 30 32 78 80 126 128 330 332 336 338 378 380	574631780112
SPT(16)	2676316143392289691	0 88 96 102 172 186 222 228 280 286 322 336 406 412 420 508	1100854223072
SPT(16)	2676316180048351229	0 2 20 32 50 78 200 212 228 240 362 390 408 420 438 440	1137510284610
STPT(10)	2676316231755018077	0 2 30 32 42 44 54 56 84 86	1189216951458