Prime p₀= 2179166759317261541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 16 2 40 2 4 2 40 2 (?)
a_n: 0 2 18 20 60 62 78 80 120 122 126 128 168 170
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: 170
Found by: [SG-FC] hl
db: batch=81, k=14, 16 40 16 40 4 40

SPT(16)	2179165606550263339	0 40 52 60 112 114 130 162 172 204 220 222 274 282 294 334	-1152766998202
TPT(14)	2179166092584123611	0 2 126 128 180 182 216 218 246 248 306 308 348 350	-666733137930
SPT(16)	2179166170701494041	0 18 70 90 126 130 148 160 216 228 246 250 286 306 358 376	-588615767500
SPT(16)	2179166346222172207	0 64 94 180 220 244 250 280 426 456 462 486 526 612 642 706	-413095089334
TPT(14)	2179166548705582949	0 2 30 32 60 62 78 80 168 170 270 272 300 302	-210611678592
SPT(18)	2179166617702907191	0 22 36 90 106 112 142 168 198 280 310 336 366 372 388 442 456 478	-141614354350
SPT(16)	2179167037613060857	0 4 84 150 160 162 174 244 372 442 454 456 466 532 612 616	278295799316
STPT(10)	2179167098002293401	0 2 36 38 78 80 120 122 156 158	338685031860
SPT(16)	2179167511531083049	0 4 34 40 70 72 78 84 118 124 130 132 162 168 198 202	752213821508
STPT(10)	2179167716245299047	0 2 90 92 102 104 114 116 204 206	956928037506
SPT(16)	2179167928970830711	0 60 90 102 112 132 210 222 238 250 328 348 358 370 400 460	1169653569170