Prime p₀= 1273892829730025381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 100 2 10 2 16 2 (?)
a_n: 0 2 30 32 60 62 156 158 258 260 270 272 288 290
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: 290
Found by: HenkM
db: batch=77, k=14, 28 28 94 100 10 16

SPT(16)	1273891102019167241	0 32 96 98 150 228 240 242 276 278 290 368 420 422 486 518	-1727710858140
STPT(10)	1273891280764889327	0 2 30 32 72 74 114 116 144 146	-1548965136054
SPT(16)	1273891421145625619	0 8 42 60 72 122 128 200 210 282 288 338 350 368 402 410	-1408584399762
STPT(10)	1273891433492369477	0 2 30 32 60 62 90 92 120 122	-1396237655904
STPT(10)	1273891693243549349	0 2 12 14 30 32 48 50 60 62	-1136486476032
STPT(10)	1273892340627660569	0 2 12 14 30 32 48 50 60 62	-489102364812
STPT(10)	1273893090439451747	0 2 42 44 72 74 102 104 144 146	260709426366
SPT(16)	1273893630112477733	0 20 60 90 120 140 144 186 188 230 234 254 284 314 354 374	800382452352
SPT(16)	1273893982471004413	0 16 28 58 78 88 94 100 114 120 126 136 156 186 198 214	1152740979032
SPT(16)	1273894229876447797	0 10 22 36 60 76 144 160 186 202 270 286 310 324 336 346	1400146422416
SPT(16)	1273894323287941697	0 30 56 86 102 116 146 182 240 276 306 320 336 366 392 422	1493557916316