Prime p₀= 2556395547245858627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 88 2 4 2 52 2 16 2 (?)
a_n: 0 2 72 74 114 116 204 206 210 212 264 266 282 284
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: 284
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 70 40 88 4 52 16

SPT(16)	2556394321075035559	0 24 52 82 114 118 132 138 154 160 174 178 210 240 268 292	-1226170823068
SPT(16)	2556394631356306439	0 20 30 80 90 132 150 180 182 212 230 272 282 332 342 362	-915889552188
TPT(14)	2556394815619195079	0 2 12 14 60 62 180 182 222 224 270 272 348 350	-731626663548
STPT(10)	2556394842903564161	0 2 36 38 78 80 120 122 156 158	-704342294466
SPT(16)	2556395080179544601	0 26 56 110 116 128 138 158 180 200 210 222 228 282 312 338	-467066314026
STPT(10)	2556395539613398937	0 2 24 26 42 44 60 62 84 86	-7632459690
SPT(16)	2556395577752532463	0 58 78 100 120 138 178 184 204 210 250 268 288 310 330 388	30506673836
SPT(16)	2556395818739368087	0 10 40 52 70 72 82 130 192 240 250 252 270 282 312 322	271493509460
SPT(13)	2556395825282674103	0 24 66 144 150 156 210 264 270 276 354 396 420	278036815476
SPT(16)	2556395952086118031	0 10 16 66 106 136 172 252 256 336 372 402 442 492 498 508	404840259404
SPT(16)	2556395960052568441	0 16 40 66 70 118 150 198 328 376 408 456 460 486 510 526	412806709814