Prime p₀= 1524319773372483299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 40 2 76 2 28 2 16 2 (?)
a_n: 0 2 60 62 90 92 132 134 210 212 240 242 258 260
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: 260
Found by: biodoc
db: batch=78, k=14, 58 28 40 76 28 16

SPT(16)	1524318630349915111	0 60 66 76 90 216 258 262 336 340 382 508 522 532 538 598	-1143022568188
STPT(12)	1524318645809812199	0 2 18 20 42 44 48 50 72 74 90 92	-1127562671100
SPT(16)	1524318980650944019	0 54 112 120 124 142 154 220 222 288 300 318 322 330 388 442	-792721539280
TPT(14)	1524319573264403519	0 2 90 92 102 104 132 134 162 164 198 200 270 272	-200108079780
SPT(16)	1524319587664209911	0 12 38 80 86 126 180 240 248 308 362 402 408 450 476 488	-185708273388
STPT(10)	1524319726160505641	0 2 6 8 48 50 90 92 96 98	-47211977658
SPT(16)	1524319813776906649	0 28 54 88 114 130 138 142 240 244 252 268 294 328 354 382	40404423350
SPT(16)	1524320953613052821	0 2 6 32 48 90 92 140 288 336 338 380 396 422 426 428	1180240569522
STPT(10)	1524320973591467717	0 2 30 32 42 44 54 56 84 86	1200218984418
SPT(16)	1524321087211833829	0 24 58 94 132 198 202 234 328 360 364 430 468 504 538 562	1313839350530
STPT(10)	1524321956647084097	0 2 24 26 42 44 60 62 84 86	2183274600798