Prime p₀= 1235134670717248529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 46 2 58 2 82 2 (?)
a_n: 0 2 60 62 72 74 90 92 138 140 198 200 282 284
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: HenkM
db: batch=77, k=14, 58 10 16 46 58 82

SPT(16)	1235133717206175533	0 38 54 68 80 96 110 224 300 414 428 444 456 470 486 524	-953511072996
SPT(16)	1235133774810047251	0 18 28 88 96 118 168 172 216 220 270 292 300 360 370 388	-895907201278
STPT(10)	1235133978556567937	0 2 12 14 42 44 72 74 84 86	-692160680592
STPT(10)	1235134290957483359	0 2 42 44 60 62 78 80 120 122	-379759765170
SPT(16)	1235134523337139531	0 36 42 52 72 78 126 148 270 292 340 346 366 376 382 418	-147380108998
SPT(16)	1235134552465945343	0 6 56 86 90 120 128 164 210 246 254 284 288 318 368 374	-118251303186
SPT(16)	1235135406570614531	0 8 50 56 66 72 80 92 126 138 146 152 162 168 210 218	735853366002
SPT(16)	1235135599575169667	0 6 30 44 72 84 152 176 180 204 272 284 312 326 350 356	928857921138
STPT(10)	1235135613909009077	0 2 42 44 72 74 102 104 144 146	943191760548
STPT(10)	1235135674365143387	0 2 42 44 72 74 102 104 144 146	1003647894858
STPT(10)	1235135827140018239	0 2 18 20 60 62 102 104 120 122	1156422769710