Prime p₀= 2797970719793039471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 178 2 16 2 22 2 58 2 (?)
a_n: 0 2 36 38 48 50 228 230 246 248 270 272 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 34 10 178 16 22 58

SPT(16)	2797969858939037759	0 74 114 152 188 204 210 228 254 272 278 294 330 368 408 482	-860854001712
SPT(16)	2797969987666712219	0 8 12 18 20 114 128 132 140 144 158 252 254 260 264 272	-732126327252
SPT(16)	2797970355264677851	0 16 18 52 90 96 112 118 150 156 172 178 216 250 252 268	-364528361620
STPT(12)	2797970643990684647	0 2 42 44 84 86 90 92 132 134 174 176	-75802354824
SPT(16)	2797970669107884953	0 26 50 56 78 96 104 156 158 210 218 236 258 264 288 314	-50685154518
SPT(16)	2797970687064484643	0 60 74 158 174 218 266 308 336 378 426 470 486 570 584 644	-32728554828
STPT(10)	2797970735002528409	0 2 18 20 30 32 42 44 60 62	15209488938
SPT(16)	2797970770185892577	0 44 84 110 174 180 254 264 332 342 416 422 486 512 552 596	50392853106
SPT(13)	2797970938472449469	0 48 78 90 114 120 144 168 174 198 210 240 288	218679409998
SPT(13)	2797970973944769361	0 48 60 90 96 180 258 336 420 426 456 468 516	254151729890
SPT(16)	2797970994385090039	0 10 18 22 24 48 54 60 112 118 124 148 150 154 162 172	274592050568