Prime p₀= 2384993232183705719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 34 2 100 2 28 2 40 2 (?)
a_n: 0 2 78 80 132 134 168 170 270 272 300 302 342 344
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: MarkRBright
db: batch=81, k=14, 76 52 34 100 28 40

SPT(16)	2384991685205902561	0 12 46 60 96 130 148 162 196 210 228 262 298 312 346 358	-1546977803158
STPT(10)	2384991981365927579	0 2 48 50 60 62 72 74 120 122	-1250817778140
STPT(10)	2384992465843751579	0 2 12 14 30 32 48 50 60 62	-766339954140
SPT(16)	2384992880489874631	0 28 30 58 72 82 106 120 148 162 186 196 210 238 240 268	-351693831088
SPT(16)	2384993057421049549	0 40 60 78 130 168 190 222 238 270 292 330 382 400 420 460	-174762656170
SPT(16)	2384993216694297793	0 6 36 90 180 198 216 234 250 268 286 304 394 448 478 484	-15489407926
TPT(14)	2384993382535233647	0 2 114 116 132 134 144 146 270 272 282 284 342 344	150351527928
SPT(16)	2384993829505472879	0 108 134 168 198 240 254 270 308 324 338 380 410 444 470 578	597321767160
STPT(12)	2384993993470495931	0 2 30 32 60 62 138 140 168 170 198 200	761286790212
STPT(10)	2384994044062284131	0 2 36 38 78 80 120 122 156 158	811878578412
STPT(10)	2384994299251840877	0 2 30 32 42 44 54 56 84 86	1067068135158