Prime p₀= 1543348133064209489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 142 2 64 2 52 2 28 2 (?)
a_n: 0 2 90 92 108 110 252 254 318 320 372 374 402 404
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: 404
Found by: crashtech
db: batch=78, k=14, 88 16 142 64 52 28

SPT(16)	1543347328879018639	0 4 30 40 60 82 88 142 210 264 270 292 312 322 348 352	-804185190850
SPT(18)	1543347678674642441	0 2 12 30 32 80 98 132 168 170 206 240 258 306 308 326 336 338	-454389567048
STPT(10)	1543347891143055089	0 2 42 44 120 122 198 200 240 242	-241921154400
STPT(12)	1543347979833310559	0 2 30 32 42 44 228 230 240 242 270 272	-153230898930
SPT(16)	1543347986497553891	0 2 12 20 42 68 90 140 210 260 282 308 330 338 348 350	-146566655598
SPT(16)	1543348053490288219	0 12 42 88 174 202 240 264 298 322 360 388 474 520 550 562	-79573921270
SPT(16)	1543348296008142499	0 12 30 58 72 88 108 142 150 184 204 220 234 262 280 292	162943933010
STPT(12)	1543348421052113309	0 2 72 74 102 104 138 140 168 170 240 242	287987903820
SPT(16)	1543348532295799771	0 10 12 72 76 126 136 142 150 156 166 216 220 280 282 292	399231590282
STPT(10)	1543348715393633129	0 2 18 20 60 62 102 104 120 122	582329423640
SPT(16)	1543348875727652767	0 12 34 60 70 90 124 126 130 132 166 186 196 222 244 256	742663443278