Prime p₀= 2604085670189590967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 118 2 10 2 244 2 70 2 58 2 (?)
a_n: 0 2 42 44 162 164 174 176 420 422 492 494 552 554
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: 554
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 40 118 10 244 70 58

SPT(16)	2604084759745671107	0 26 66 110 120 156 180 234 362 416 440 476 486 530 570 596	-910443919860
SPT(16)	2604085179685672021	0 10 58 78 96 108 132 160 198 226 250 262 280 300 348 358	-490503918946
SPT(16)	2604085251427465829	0 8 50 74 90 122 144 150 182 188 210 242 258 282 324 332	-418762125138
TPT(14)	2604085417271883761	0 2 60 62 108 110 138 140 168 170 240 242 318 320	-252917707206
STPT(10)	2604085503434279867	0 2 30 32 60 62 90 92 120 122	-166755311100
STPT(10)	2604085522340267261	0 2 6 8 18 20 30 32 36 38	-147849323706
SPT(20)	2604086279258361713	0 26 44 50 90 110 114 216 230 246 278 294 308 410 414 434 474 480 498 524	609068770746
SPT(16)	2604086538205945297	0 4 30 60 82 84 120 130 204 214 250 252 274 304 330 334	868016354330
SPT(16)	2604086593921815757	0 10 42 46 54 124 156 166 240 250 282 352 360 364 396 406	923732224790
TPT(14)	2604086789253214607	0 2 12 14 24 26 60 62 84 86 102 104 114 116	1119063623640
SPT(16)	2604086841098695999	0 18 40 72 78 102 142 144 208 210 250 274 280 312 334 352	1170909105032