Prime p₀= 1307288171922197831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 10 2 76 2 16 2 10 2 (?)
a_n: 0 2 18 20 78 80 90 92 168 170 186 188 198 200
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: 200
Found by: Theadalus
db: batch=77, k=14, 16 58 10 76 16 10

SPT(16)	1307286641344016041	0 22 48 60 78 90 112 150 238 276 298 310 328 340 366 388	-1530578181790
SPT(16)	1307287161278607871	0 42 48 60 66 70 88 118 120 150 168 172 178 190 196 238	-1010643589960
TPT(14)	1307287897930713707	0 2 72 74 150 152 162 164 180 182 204 206 240 242	-273991484124
SPT(16)	1307287903580470139	0 60 72 102 128 152 242 282 338 378 468 492 518 548 560 620	-268341727692
TPT(14)	1307287964435113877	0 2 12 14 30 32 72 74 144 146 150 152 210 212	-207487083954
STPT(10)	1307287968485222177	0 2 24 26 42 44 60 62 84 86	-203436975654
SPT(16)	1307288185814521501	0 22 28 30 118 120 138 166 282 310 328 330 418 420 426 448	13892323670
TPT(14)	1307288218212586067	0 2 12 14 54 56 84 86 204 206 210 212 330 332	46290388236
STPT(10)	1307288325259500557	0 2 30 32 42 44 54 56 84 86	153337302726
STPT(10)	1307288510187540677	0 2 30 32 42 44 54 56 84 86	338265342846
SPT(16)	1307288526880635307	0 10 40 52 64 72 136 150 196 210 274 282 294 306 336 346	354958437476