Prime p₀= 3031537354115289827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 28 2 40 2 28 2 76 2 (?)
a_n: 0 2 84 86 120 122 150 152 192 194 222 224 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 82 34 28 40 28 76

SPT(16)	3031536782624449471	0 10 42 52 60 82 100 108 172 180 198 220 228 238 270 280	-571490840356
SPT(16)	3031536970628824081	0 36 46 58 88 90 138 156 172 190 238 240 270 282 292 328	-383486465746
TPT(14)	3031537041424144247	0 2 54 56 150 152 234 236 282 284 294 296 360 362	-312691145580
SPT(16)	3031537105738357393	0 6 66 94 100 118 156 178 216 238 276 294 300 328 388 394	-248376932434
STPT(10)	3031537121411790611	0 2 6 8 48 50 90 92 96 98	-232703499216
STPT(10)	3031537142245485719	0 2 18 20 30 32 42 44 60 62	-211869804108
SPT(16)	3031537761183117617	0 2 56 62 72 92 104 182 204 282 294 314 324 330 384 386	407067827790
STPT(10)	3031538254336127717	0 2 30 32 42 44 54 56 84 86	900220837890
SPT(16)	3031538364844103269	0 24 58 60 102 168 178 184 198 204 214 280 322 324 358 382	1010728813442
STPT(10)	3031538507883314237	0 2 12 14 42 44 72 74 84 86	1153768024410
SPT(16)	3031538585203460957	0 60 80 102 114 140 176 204 212 240 276 302 314 336 356 416	1231088171130