Prime p₀= 2166784777602161159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 10 2 76 2 28 2 40 2 (?)
a_n: 0 2 60 62 120 122 132 134 210 212 240 242 282 284
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: 284
Found by: JayPi
db: batch=81, k=14, 58 58 10 76 28 40

STPT(10)	2166783874663582841	0 2 6 8 18 20 30 32 36 38	-902938578318
TPT(14)	2166783997063325621	0 2 60 62 78 80 90 92 168 170 198 200 210 212	-780538835538
TPT(14)	2166784164556844009	0 2 72 74 78 80 240 242 270 272 282 284 372 374	-613045317150
SPT(16)	2166784515226900483	0 24 36 40 66 136 264 298 336 370 498 568 594 598 610 634	-262375260676
TPT(14)	2166784557835107227	0 2 42 44 210 212 330 332 342 344 414 416 474 476	-219767053932
SPT(16)	2166784748081343583	0 48 58 144 238 244 268 328 336 396 420 426 520 606 616 664	-29520817576
TPT(14)	2166785354347431149	0 2 12 14 90 92 192 194 210 212 288 290 360 362	576745269990
SPT(16)	2166786234185189483	0 26 60 66 116 140 146 180 194 228 234 258 308 314 348 374	1456583028324
TPT(14)	2166786784063187927	0 2 60 62 144 146 174 176 180 182 222 224 432 434	2006461026768
STPT(10)	2166786814065864239	0 2 18 20 30 32 42 44 60 62	2036463703080
SPT(16)	2166786948821375099	0 30 32 50 92 102 140 164 168 192 230 240 282 300 302 332	2171219213940