Prime p₀= 1236577827423219731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 232 2 64 2 28 2 70 2 16 2 (?)
a_n: 0 2 36 38 270 272 336 338 366 368 438 440 456 458
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: 458
Found by: Donn Pike (USAF Ret)
db: batch=77, k=14, 34 232 64 28 70 16

TPT(14)	1236575781365168471	0 2 6 8 36 38 78 80 108 110 120 122 168 170	-2046058051260
STPT(10)	1236575838481757831	0 2 30 32 78 80 126 128 156 158	-1988941461900
SPT(16)	1236576447671032621	0 46 102 136 142 186 196 222 226 252 262 306 312 346 402 448	-1379752187110
SPT(16)	1236577393089308561	0 30 42 62 96 98 120 128 180 188 210 212 246 266 278 308	-434333911170
SPT(16)	1236577429409830769	0 20 60 62 104 114 132 144 158 170 188 198 240 242 282 302	-398013388962
SPT(16)	1236577563123531821	0 2 38 80 96 150 162 212 216 266 278 332 348 390 426 428	-264299687910
SPT(16)	1236577834033519841	0 2 6 56 62 68 80 96 182 198 210 216 222 272 276 278	6610300110
SPT(16)	1236577952882771167	0 12 22 30 54 60 70 76 210 216 226 232 256 264 274 286	125459551436
STPT(10)	1236578051529593921	0 2 30 32 78 80 126 128 156 158	224106374190
STPT(10)	1236578174693890661	0 2 6 8 48 50 90 92 96 98	347270670930
SPT(16)	1236578394155731829	0 2 12 54 68 72 108 152 210 254 290 294 308 350 360 362	566732512098