Prime p₀= 3006704690833644527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 46 2 58 2 28 2 40 2 (?)
a_n: 0 2 60 62 102 104 150 152 210 212 240 242 282 284
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: 284
Found by: conf [MM]
db: batch=82, k=14, 58 40 46 58 28 40

STPT(10)	3006703922470403339	0 2 18 20 30 32 42 44 60 62	-768363241188
TPT(14)	3006704017310838431	0 2 108 110 186 188 228 230 306 308 366 368 450 452	-673522806096
SPT(16)	3006704091354823459	0 40 64 108 120 190 204 238 300 334 348 418 430 474 498 538	-599478821068
TPT(14)	3006704306969838329	0 2 150 152 240 242 252 254 282 284 390 392 402 404	-383863806198
SPT(16)	3006704418009855383	0 60 80 84 98 150 170 188 210 228 248 300 314 318 338 398	-272823789144
SPT(16)	3006704664639661459	0 4 18 22 24 28 42 52 60 70 84 88 90 94 108 112	-26193983068
SPT(16)	3006704752780303261	0 12 36 42 58 60 82 96 112 126 148 150 166 172 196 208	61946658734
STPT(10)	3006705414075854549	0 2 42 44 60 62 78 80 120 122	723242210022
SPT(16)	3006705697662656267	0 20 24 26 42 92 104 150 176 222 234 284 300 302 306 326	1006829011740
STPT(10)	3006705864293416457	0 2 30 32 42 44 54 56 84 86	1173459771930
SPT(16)	3006706283150818799	0 12 14 20 90 92 104 110 174 180 192 194 264 270 272 284	1592317174272