Prime p₀= 747628715949771629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 10 2 40 2 34 2 (?)
a_n: 0 2 30 32 72 74 108 110 120 122 162 164 198 200
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: [SG-2W]Kurzer
db: batch=73, k=14, 28 40 34 10 40 34

SPT(16)	747627961424476841	0 30 56 60 62 120 186 200 228 242 308 366 368 372 398 428	-754525294788
SPT(16)	747627998353837747	0 34 46 66 100 112 126 132 154 160 174 186 220 240 252 286	-717595933882
SPT(16)	747628039076249711	0 18 32 80 86 92 102 120 128 146 156 162 168 216 230 248	-676873521918
SPT(16)	747628045671101149	0 34 60 90 114 168 172 202 210 240 244 298 322 352 378 412	-670278670480
STPT(10)	747628269236055407	0 2 30 32 72 74 114 116 144 146	-446713716222
SPT(16)	747628420136164559	0 12 48 54 108 188 198 200 222 224 234 314 368 374 410 422	-295813607070
SPT(16)	747628830640753891	0 46 70 82 88 90 120 130 198 208 238 240 246 258 282 328	114690982262
SPT(16)	747628921700371351	0 12 28 90 112 180 208 216 292 300 328 396 418 480 496 508	205750599722
SPT(16)	747629202489498127	0 36 40 54 60 102 112 162 214 264 274 316 322 336 340 376	486539726498
STPT(10)	747629296403142911	0 2 6 8 18 20 30 32 36 38	580453371282
SPT(16)	747629579902847119	0 10 52 108 130 142 154 190 282 318 330 342 364 420 462 472	863953075490