Prime p₀= 981459024609393689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 16 2 82 2 4 2 58 2 (?)
a_n: 0 2 30 32 60 62 78 80 162 164 168 170 228 230
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: 230
Found by: stoneageman
db: batch=76, k=14, 28 28 16 82 4 58

SPT(16)	981457586099631031	0 10 28 42 48 70 72 130 180 238 240 262 268 282 300 310	-1438509762658
STPT(10)	981458199353570759	0 2 18 20 30 32 42 44 60 62	-825255822930
SPT(16)	981458266498722601	0 10 18 30 40 130 168 180 238 250 288 378 388 400 408 418	-758110671088
STPT(10)	981458314532628587	0 2 30 32 72 74 114 116 144 146	-710076765102
TPT(14)	981458685973174181	0 2 78 80 108 110 126 128 180 182 210 212 318 320	-338636219508
STPT(12)	981459016896781901	0 2 18 20 30 32 156 158 168 170 186 188	-7712611788
STPT(10)	981459302111771177	0 2 60 62 102 104 144 146 204 206	277502377488
SPT(16)	981459659996369209	0 52 82 90 94 120 144 160 222 238 262 288 292 300 330 382	635386975520
STPT(10)	981459746197490039	0 2 18 20 30 32 42 44 60 62	721588096350
STPT(10)	981459774092274677	0 2 30 32 72 74 114 116 144 146	749482880988
SPT(16)	981459847451722601	0 8 20 42 68 78 158 198 242 282 362 372 398 420 432 440	822842328912