Prime p₀= 2428199295821226017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 118 2 58 2 10 2 124 2 (?)
a_n: 0 2 24 26 72 74 192 194 252 254 264 266 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 22 46 118 58 10 124

SPT(16)	2428198413182486333	0 26 36 56 116 138 158 210 236 288 308 330 390 410 420 446	-882638739684
SPT(16)	2428198462501651739	0 20 50 72 98 158 174 210 272 308 324 384 410 432 462 482	-833319574278
SPT(16)	2428198520576012599	0 28 42 72 84 108 150 184 228 262 304 328 340 370 384 412	-775245213418
STPT(10)	2428198676924401427	0 2 54 56 72 74 90 92 144 146	-618896824590
STPT(10)	2428198929379878407	0 2 30 32 42 44 54 56 84 86	-366441347610
SPT(18)	2428199052914882263	0 24 66 76 78 84 118 136 196 198 258 276 310 316 318 328 370 394	-242906343754
STPT(10)	2428199586437380961	0 2 6 8 18 20 30 32 36 38	290616154944
STPT(10)	2428199669497084331	0 2 30 32 60 62 90 92 120 122	373675858314
STPT(10)	2428199958080062259	0 2 42 44 60 62 78 80 120 122	662258836242
SPT(16)	2428200149460152059	0 88 124 144 154 174 202 234 238 270 298 318 328 348 384 472	853638926042
SPT(16)	2428200299348884499	0 14 38 54 62 90 132 164 168 200 242 270 278 294 318 332	1003527658482