Prime p₀= 971942718052604027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 166 2 82 2 34 2 10 2 (?)
a_n: 0 2 30 32 42 44 210 212 294 296 330 332 342 344
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: 344
Found by: HenkM
db: batch=76, k=14, 28 10 166 82 34 10

SPT(16)	971941936584229679	0 14 48 50 54 68 80 158 210 288 300 314 318 320 354 368	-781468374348
STPT(10)	971941937046834581	0 2 36 38 78 80 120 122 156 158	-781005769446
SPT(16)	971941964266551211	0 6 72 148 150 178 220 226 252 258 300 328 330 406 472 478	-753786052816
SPT(16)	971942121914267057	0 26 66 80 102 134 182 212 234 264 312 344 366 380 420 446	-596138336970
STPT(10)	971942329441920971	0 2 36 38 78 80 120 122 156 158	-388610683056
SPT(16)	971942672193260359	0 48 102 114 130 132 144 174 208 238 250 252 268 280 334 382	-45859343668
STPT(10)	971943022615757627	0 2 30 32 42 44 54 56 84 86	304563153600
STPT(10)	971943125959731221	0 2 6 8 18 20 30 32 36 38	407907127194
TPT(14)	971943141638612261	0 2 18 20 30 32 66 68 126 128 138 140 150 152	423586008234
SPT(16)	971943238109839579	0 78 112 138 174 198 244 250 282 288 334 358 394 420 454 532	520057235552
TPT(14)	971943397002451919	0 2 48 50 78 80 90 92 222 224 258 260 300 302	678949847892