Prime p₀= 1193025616564231367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 76 2 28 2 46 2 220 2 40 2 (?)
a_n: 0 2 84 86 162 164 192 194 240 242 462 464 504 506
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: 506
Found by: xii5ku
db: batch=77, k=14, 82 76 28 46 220 40

STPT(10)	1193024827225876829	0 2 30 32 60 62 90 92 120 122	-789338354538
TPT(14)	1193024968882366337	0 2 12 14 54 56 144 146 180 182 222 224 282 284	-647681865030
SPT(16)	1193025243701712943	0 34 36 48 96 100 114 118 126 130 144 148 196 208 210 244	-372862518424
SPT(16)	1193025253165797607	0 10 72 76 100 154 226 262 264 300 372 426 450 454 516 526	-363398433760
TPT(14)	1193025398935258709	0 2 18 20 42 44 72 74 162 164 198 200 300 302	-217628972658
STPT(10)	1193025504261723029	0 2 18 20 30 32 42 44 60 62	-112302508338
SPT(16)	1193025625053039143	0 18 38 60 66 156 176 186 230 240 260 350 356 378 398 416	8488807776
STPT(10)	1193025821631845867	0 2 12 14 42 44 72 74 84 86	205067614500
SPT(16)	1193025833045095193	0 36 68 96 126 134 174 180 254 260 300 308 338 366 398 434	216480863826
SPT(16)	1193026002103263437	0 14 32 42 114 120 132 152 162 182 194 200 272 282 300 314	385539032070
STPT(10)	1193026190420049281	0 2 6 8 18 20 30 32 36 38	573855817914