Prime p₀= 2507738657455573271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 160 2 58 2 10 2 4 2 22 2 (?)
a_n: 0 2 6 8 168 170 228 230 240 242 246 248 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 4 160 58 10 4 22

TPT(14)	2507736494137277729	0 2 60 62 138 140 198 200 252 254 258 260 342 344	-2163318295542
SPT(16)	2507737477052680069	0 54 60 84 138 280 292 312 340 360 372 514 568 592 598 652	-1180402893202
SPT(16)	2507737555466910859	0 28 52 58 60 94 130 138 184 192 228 262 264 270 294 322	-1101988662412
SPT(16)	2507737846666495613	0 78 98 164 200 218 224 228 290 294 300 318 354 420 440 518	-810789077658
STPT(10)	2507737862078058107	0 2 84 86 252 254 420 422 504 506	-795377515164
SPT(16)	2507737918182209467	0 6 34 54 76 84 94 96 154 156 166 174 196 216 244 250	-739273363804
TPT(16)	2507738866975643627	0 2 30 32 42 44 102 104 132 134 174 176 264 266 282 284	209520070356
SPT(16)	2507738961136246421	0 8 38 42 78 86 90 96 122 128 132 140 176 180 210 218	303680673150
TPT(14)	2507739398086067609	0 2 60 62 72 74 78 80 102 104 162 164 198 200	740630494338
STPT(10)	2507739599429382737	0 2 42 44 72 74 102 104 144 146	941973809466
STPT(10)	2507739809727663521	0 2 6 8 48 50 90 92 96 98	1152272090250