Prime p₀= 917332922534234159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 118 2 4 2 22 2 4 2 (?)
a_n: 0 2 30 32 132 134 252 254 258 260 282 284 288 290
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: 290
Found by: Theadalus
db: batch=76, k=14, 28 100 118 4 22 4

SPT(16)	917331780887838161	0 18 62 66 86 102 108 158 240 290 296 312 332 336 380 398	-1141646395998
SPT(16)	917332088632932823	0 28 60 70 90 100 118 126 148 156 174 184 204 214 246 274	-833901301336
TPT(14)	917332469002022531	0 2 6 8 108 110 120 122 150 152 210 212 276 278	-453532211628
STPT(10)	917332674747234269	0 2 18 20 30 32 42 44 60 62	-247786999890
SPT(16)	917332774838894203	0 10 28 34 126 136 174 180 214 220 258 268 360 366 384 394	-147695339956
SPT(16)	917332830526283807	0 32 44 54 80 110 114 126 350 362 366 396 422 432 444 476	-92007950352
SPT(16)	917333534916982987	0 52 60 66 112 136 150 172 180 202 216 240 286 292 300 352	612382748828
STPT(10)	917333573974968119	0 2 12 14 30 32 48 50 60 62	651440733960
SPT(16)	917333593578004567	0 30 60 76 90 96 144 214 222 292 340 346 360 376 406 436	671043770408
SPT(16)	917333665487389723	0 6 46 136 138 154 160 180 214 234 240 256 258 348 388 394	742953155564
SPT(16)	917333849350638677	0 60 72 80 116 126 156 182 210 236 266 276 312 320 332 392	926816404518