Prime p₀= 789416328584985599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 10 2 58 2 10 2 34 2 (?)
a_n: 0 2 78 80 168 170 180 182 240 242 252 254 288 290
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: 290
Found by: [SG]FX
db: batch=73, k=14, 76 88 10 58 10 34

STPT(10)	789415561912063769	0 2 42 44 90 92 138 140 180 182	-766672921830
SPT(16)	789415743245910973	0 40 70 136 174 196 210 244 300 334 348 370 408 474 504 544	-585339074626
TPT(14)	789415889575238741	0 2 30 32 48 50 228 230 258 260 336 338 420 422	-439009746858
STPT(10)	789415928407566569	0 2 48 50 90 92 132 134 180 182	-400177419030
STPT(10)	789416301033346121	0 2 36 38 78 80 120 122 156 158	-27551639478
STPT(10)	789416302523805497	0 2 90 92 102 104 114 116 204 206	-26061180102
SPT(16)	789416347255977593	0 6 8 14 38 50 120 140 144 164 234 246 270 276 278 284	18670991994
SPT(16)	789416366427108241	0 12 42 72 78 142 160 202 246 288 306 370 376 406 436 448	37842122642
SPT(16)	789416384508641299	0 22 28 90 148 154 180 190 222 232 258 264 322 384 390 412	55923655700
SPT(22)	789416594108249449	0 30 34 52 60 94 130 184 192 220 258 304 342 370 378 432 468 502 510 528 532 562	265523263850
SPT(16)	789416644538313647	0 14 30 44 86 114 120 140 150 170 176 204 246 260 276 290	315953328048