Prime p₀= 2166779866583545349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 40 2 76 2 28 2 40 2 (?)
a_n: 0 2 138 140 168 170 210 212 288 290 318 320 360 362
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: 362
Found by: [SG-FC] hl
db: batch=81, k=14, 136 28 40 76 28 40

SPT(16)	2166777861265244503	0 24 66 70 108 138 150 226 258 334 346 376 414 418 460 484	-2005318300846
SPT(16)	2166778606062580217	0 2 32 42 44 66 80 110 156 186 200 222 224 234 264 266	-1260520965132
SPT(16)	2166778631445830323	0 6 70 78 138 150 160 216 250 306 316 328 388 396 460 466	-1235137715026
SPT(16)	2166779321014066943	0 74 116 120 174 210 224 230 240 246 260 296 350 354 396 470	-545569478406
SPT(16)	2166779464358002423	0 28 54 96 108 138 144 168 226 250 256 286 298 340 366 394	-402225542926
SPT(16)	2166779850886195343	0 14 36 38 96 156 164 168 206 210 218 278 336 338 360 374	-15697350006
STPT(10)	2166779871541591211	0 2 6 8 48 50 90 92 96 98	4958045862
STPT(10)	2166779914362057011	0 2 6 8 108 110 210 212 216 218	47778511662
SPT(16)	2166780002719023467	0 20 44 54 74 86 116 152 174 210 240 252 272 282 306 326	136135478118
SPT(16)	2166780334678084129	0 12 28 30 64 72 82 114 208 240 250 258 292 294 310 322	468094538780
SPT(16)	2166780456666818929	0 18 88 150 172 214 280 304 318 342 408 450 472 534 604 622	590083273580