Prime p₀= 1242612678835953671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 16 2 16 2 148 2 10 2 10 2 (?)
a_n: 0 2 120 122 138 140 156 158 306 308 318 320 330 332
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: 332
Found by: Cruncher Pete
db: batch=77, k=14, 118 16 16 148 10 10

SPT(16)	1242611740019053609	0 18 22 28 84 90 132 154 168 190 232 238 294 300 304 322	-938816900062
SPT(16)	1242612004309943209	0 28 40 42 52 70 130 178 204 252 312 330 340 342 354 382	-674526010462
SPT(16)	1242612064889645833	0 10 54 94 106 120 166 174 196 204 250 264 276 316 360 370	-613946307838
TPT(14)	1242612066425216411	0 2 138 140 240 242 276 278 306 308 366 368 456 458	-612410737260
SPT(16)	1242612268137499877	0 50 72 122 126 140 144 156 170 182 186 200 204 254 276 326	-410698453794
STPT(10)	1242612562383135701	0 2 6 8 18 20 30 32 36 38	-116452817970
STPT(10)	1242612864985967117	0 2 30 32 42 44 54 56 84 86	186150013446
SPT(16)	1242612908915025731	0 56 66 68 90 108 116 128 210 222 230 248 270 272 282 338	230079072060
SPT(16)	1242613065907525919	0 12 18 32 50 90 110 158 162 210 230 270 288 302 308 320	387071572248
STPT(10)	1242613303404581369	0 2 18 20 30 32 42 44 60 62	624568627698
SPT(16)	1242614207998232591	0 2 30 62 78 86 162 198 230 266 342 350 366 398 426 428	1529162278920