Prime p₀= 1242777650121935099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 34 2 40 2 88 2 40 2 (?)
a_n: 0 2 18 20 132 134 168 170 210 212 300 302 342 344
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: Cruncher Pete
db: batch=77, k=14, 16 112 34 40 88 40

TPT(14)	1242775748288808911	0 2 48 50 60 62 126 128 168 170 210 212 216 218	-1901833126188
SPT(16)	1242776064480952021	0 40 42 60 72 82 102 108 160 166 186 196 208 226 228 268	-1585640983078
STPT(10)	1242776289747990269	0 2 18 20 30 32 42 44 60 62	-1360373944830
SPT(16)	1242776582685011921	0 98 192 198 200 242 248 252 266 270 276 318 320 326 420 518	-1067436923178
SPT(16)	1242776705464001753	0 6 56 68 104 128 156 194 210 248 276 300 336 348 398 404	-944657933346
SPT(13)	1242777356859427241	0 6 42 72 102 132 156 180 210 240 270 306 312	-293262507858
SPT(16)	1242777656899475863	0 18 40 48 64 118 130 166 168 204 216 270 286 294 316 334	6777540764
STPT(10)	1242777840103878707	0 2 30 32 72 74 114 116 144 146	189981943608
TPT(16)	1242777935585065337	0 2 132 134 204 206 252 254 264 266 300 302 402 404 474 476	285463130238
SPT(16)	1242778149022405883	0 26 54 56 60 116 140 164 216 240 264 320 324 326 354 380	498900470784
SPT(16)	1242778252224073879	0 42 84 100 112 132 144 172 210 238 250 270 282 298 340 382	602102138780