Prime p₀= 1404038629037167307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 40 2 28 2 10 2 64 2 (?)
a_n: 0 2 60 62 90 92 132 134 162 164 174 176 240 242
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: 242
Found by: matali
db: batch=78, k=14, 58 28 40 28 10 64

STPT(10)	1404037791712342559	0 2 48 50 90 92 132 134 180 182	-837324824748
SPT(16)	1404037956052371371	0 6 8 50 90 98 110 116 162 168 180 188 228 270 272 278	-672984795936
TPT(14)	1404038125797363167	0 2 72 74 150 152 210 212 234 236 312 314 324 326	-503239804140
SPT(16)	1404038234396010667	0 94 102 112 124 154 172 282 292 402 420 450 462 472 480 574	-394641156640
SPT(16)	1404038414837212939	0 30 72 82 100 148 198 210 250 262 312 360 378 388 430 460	-214199954368
TPT(14)	1404038594812751759	0 2 30 32 78 80 120 122 210 212 288 290 330 332	-34224415548
STPT(10)	1404038747107541297	0 2 30 32 42 44 54 56 84 86	118070373990
SPT(16)	1404038758378944937	0 16 30 60 112 126 142 156 160 174 190 204 256 286 300 316	129341777630
SPT(16)	1404039171698339909	0 14 74 110 222 258 314 318 344 348 404 440 552 588 648 662	542661172602
STPT(10)	1404039188450479127	0 2 30 32 42 44 54 56 84 86	559413311820
STPT(10)	1404039326918259149	0 2 18 20 30 32 42 44 60 62	697881091842