Prime p₀= 1265614521799676159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 28 2 34 2 28 2 22 2 (?)
a_n: 0 2 42 44 72 74 102 104 138 140 168 170 192 194
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: 194
Found by: xii5ku
db: batch=77, k=14, 40 28 28 34 28 22

SPT(16)	1265613665905289513	0 44 120 158 194 198 234 260 354 380 416 420 456 494 570 614	-855894386646
STPT(10)	1265613781183964867	0 2 30 32 72 74 114 116 144 146	-740615711292
STPT(10)	1265613914243224937	0 2 30 32 42 44 54 56 84 86	-607556451222
SPT(15)	1265613982610318191	0 36 102 126 156 180 240 246 252 312 336 366 390 456 492	-539189357968
STPT(10)	1265614029324523727	0 2 30 32 60 62 90 92 120 122	-492475152432
STPT(10)	1265614076069698709	0 2 12 14 90 92 168 170 180 182	-445729977450
SPT(16)	1265614657134338779	0 28 34 60 64 90 102 160 162 220 232 258 262 288 294 322	135334662620
SPT(16)	1265614696709358869	0 24 38 44 54 132 152 168 194 210 230 308 318 324 338 362	174909682710
SPT(16)	1265614998139122629	0 42 48 62 104 122 180 224 228 272 330 348 390 404 410 452	476339446470
STPT(10)	1265615065824741167	0 2 30 32 42 44 54 56 84 86	544025065008
STPT(10)	1265615133490826219	0 2 48 50 90 92 132 134 180 182	611691150060