Prime p₀= 1030671817494088919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 220 2 76 2 88 2 (?)
a_n: 0 2 30 32 42 44 120 122 342 344 420 422 510 512
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: 512
Found by: Theadalus
db: batch=76, k=14, 28 10 76 220 76 88

SPT(20)	1030670957067624959	0 32 42 48 72 84 168 228 230 242 300 312 314 374 458 470 494 500 510 542	-860426463960
STPT(10)	1030671388847925467	0 2 30 32 42 44 54 56 84 86	-428646163452
SPT(16)	1030671443505482507	0 24 32 50 54 72 84 102 134 152 164 182 186 204 212 236	-373988606412
STPT(10)	1030671487453937447	0 2 30 32 42 44 54 56 84 86	-330040151472
SPT(16)	1030671695799946391	0 36 42 86 98 140 168 230 318 380 408 450 462 506 512 548	-121694142528
SPT(16)	1030671735852311347	0 40 46 70 82 90 100 114 142 156 166 174 186 210 216 256	-81641777572
STPT(10)	1030671974548980737	0 2 30 32 42 44 54 56 84 86	157054891818
SPT(16)	1030672084740979097	0 20 32 50 140 146 204 216 230 242 300 306 396 414 426 446	267246890178
STPT(10)	1030672267112907449	0 2 30 32 60 62 90 92 120 122	449618818530
STPT(10)	1030672343794332047	0 2 12 14 42 44 72 74 84 86	526300243128
SPT(16)	1030672481810586569	0 38 42 78 110 114 120 140 162 182 188 192 224 260 264 302	664316497650