Prime p₀= 947821079677788689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 58 2 76 2 40 2 46 2 (?)
a_n: 0 2 60 62 102 104 162 164 240 242 282 284 330 332
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: stoneageman
db: batch=76, k=14, 58 40 58 76 40 46

SPT(16)	947820410471540611	0 46 48 66 70 132 136 186 202 252 256 318 322 340 342 388	-669206248078
STPT(10)	947820477619101797	0 2 12 14 42 44 72 74 84 86	-602058686892
SPT(16)	947820574971414077	0 42 86 90 114 140 152 182 264 294 306 332 356 360 404 446	-504706374612
STPT(10)	947820794409584267	0 2 30 32 42 44 54 56 84 86	-285268204422
STPT(10)	947820974456302151	0 2 6 8 18 20 30 32 36 38	-105221486538
SPT(16)	947820989721569009	0 8 12 50 62 74 90 114 158 182 198 210 222 260 264 272	-89956219680
STPT(10)	947821092973397141	0 2 36 38 78 80 120 122 156 158	13295608452
SPT(16)	947821165627759237	0 36 52 94 96 166 204 250 306 352 390 460 462 504 520 556	85949970548
SPT(16)	947821422927657977	0 32 74 80 90 102 116 140 156 180 194 206 216 222 264 296	343249869288
SPT(16)	947821750490114509	0 18 22 58 78 84 172 190 192 210 298 304 324 360 364 382	670812325820
SPT(16)	947821926545905823	0 14 60 74 86 126 164 168 296 300 338 378 390 404 450 464	846868117134