Prime p₀= 2178801209684638151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 34 2 40 2 76 2 (?)
a_n: 0 2 6 8 30 32 60 62 96 98 138 140 216 218
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: 218
Found by: Penguin
db: batch=81, k=14, 4 22 28 34 40 76

STPT(10)	2178798698484293057	0 2 12 14 72 74 132 134 144 146	-2511200345094
SPT(16)	2178798909905127739	0 34 84 108 130 132 150 180 292 322 340 342 364 388 438 472	-2299779510412
STPT(10)	2178799008647349371	0 2 6 8 48 50 90 92 96 98	-2201037288780
STPT(10)	2178799094572240727	0 2 30 32 72 74 114 116 144 146	-2115112397424
SPT(16)	2178799812204646469	0 102 170 192 194 252 284 308 324 348 380 438 440 462 530 632	-1397479991682
SPT(16)	2178801174847659443	0 20 50 56 86 90 146 156 158 168 224 228 258 264 294 314	-34836978708
SPT(16)	2178801250553517091	0 12 36 78 112 126 130 138 160 168 172 186 220 262 286 298	40868878940
STPT(10)	2178801292417156697	0 2 90 92 132 134 174 176 264 266	82732518546
SPT(16)	2178801338117805749	0 8 38 54 60 74 78 80 162 164 168 182 188 204 234 242	128433167598
SPT(16)	2178801637627133641	0 6 28 70 72 82 90 106 132 148 156 166 168 210 232 238	427942495490
STPT(10)	2178801718874579297	0 2 30 32 72 74 114 116 144 146	509189941146