Prime p₀= 2751557702955613631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 208 2 46 2 40 2 (?)
a_n: 0 2 30 32 48 50 120 122 330 332 378 380 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 28 16 70 208 46 40

SPT(16)	2751554746011739781	0 38 60 78 120 138 150 168 218 236 248 266 308 326 348 386	-2956943873850
SPT(16)	2751554906744379761	0 12 20 42 50 68 86 90 98 102 120 138 146 168 176 188	-2796211233870
STPT(12)	2751555716204559557	0 2 42 44 102 104 150 152 210 212 252 254	-1986751054074
SPT(16)	2751556015715623331	0 20 56 62 90 108 132 140 168 176 200 218 246 252 288 308	-1687239990300
SPT(16)	2751557065615045097	0 62 72 180 296 300 306 320 342 356 362 366 482 590 600 662	-637340568534
STPT(10)	2751557577490294751	0 2 6 8 48 50 90 92 96 98	-125465318880
SPT(16)	2751557725455362777	0 6 44 114 116 120 156 162 224 230 266 270 272 342 380 386	22499749146
TPT(14)	2751557926616103791	0 2 6 8 30 32 60 62 138 140 198 200 336 338	223660490160
STPT(10)	2751558485924408099	0 2 18 20 30 32 42 44 60 62	782968794468
SPT(16)	2751558870195917569	0 58 64 102 154 168 172 198 214 240 244 258 310 348 354 412	1167240303938
STPT(10)	2751559061416931279	0 2 42 44 90 92 138 140 180 182	1358461317648