Prime p₀= 1427285100272462987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 148 2 130 2 34 2 28 2 52 2 (?)
a_n: 0 2 12 14 162 164 294 296 330 332 360 362 414 416
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: 416
Found by: bfromcolo
db: batch=78, k=14, 10 148 130 34 28 52

SPT(16)	1427283855520334821	0 22 28 58 66 132 148 168 220 240 256 322 330 360 366 388	-1244752128166
SPT(16)	1427284113484495429	0 28 34 42 48 78 88 114 118 144 154 184 190 198 204 232	-986787967558
SPT(16)	1427284293880119197	0 14 20 26 32 66 84 120 206 242 260 294 300 306 312 326	-806392343790
SPT(16)	1427284462035652111	0 6 16 48 112 118 136 198 220 282 300 306 370 402 412 418	-638236810876
SPT(16)	1427284522715423839	0 10 18 54 60 88 120 130 252 262 294 322 328 364 372 382	-577557039148
STPT(10)	1427284793354487161	0 2 6 8 48 50 90 92 96 98	-306917975826
SPT(16)	1427285122381488263	0 60 66 108 116 134 168 186 248 266 300 318 326 368 374 434	22109025276
SPT(16)	1427285353390049497	0 4 42 60 66 94 172 262 264 354 432 460 466 484 522 526	253117586510
STPT(10)	1427285587684551611	0 2 30 32 78 80 126 128 156 158	487412088624
STPT(10)	1427285664361173917	0 2 24 26 42 44 60 62 84 86	564088710930
SPT(16)	1427285738859193877	0 14 20 60 80 114 132 140 174 182 200 234 254 294 300 314	638586730890