Prime p₀= 1008290289471946727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 88 2 4 2 28 2 10 2 (?)
a_n: 0 2 72 74 114 116 204 206 210 212 240 242 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 70 40 88 4 28 10

TPT(14)	1008289502983509221	0 2 96 98 138 140 168 170 180 182 210 212 228 230	-786488437506
SPT(16)	1008289627227563563	0 64 70 94 114 130 148 156 178 186 204 220 240 264 270 334	-662244383164
SPT(16)	1008289831154308537	0 6 16 30 90 106 120 136 174 190 204 220 280 294 304 310	-458317638190
SPT(16)	1008290107114303571	0 26 32 38 42 60 68 78 140 150 158 176 180 186 192 218	-182357643156
SPT(16)	1008290177901228983	0 50 80 96 126 134 200 246 248 294 360 368 398 414 444 494	-111570717744
SPT(16)	1008290259699243613	0 10 16 28 126 130 136 178 228 270 276 280 378 390 396 406	-29772703114
SPT(16)	1008290633277866363	0 24 38 98 110 150 174 200 294 320 344 384 396 456 470 494	343805919636
SPT(16)	1008290702108510053	0 4 10 34 48 70 78 88 150 160 168 190 204 228 234 238	412636563326
SPT(16)	1008290753846323393	0 54 88 94 138 154 174 306 328 460 480 496 540 546 580 634	464374376666
STPT(10)	1008290841022013369	0 2 18 20 30 32 42 44 60 62	551550066642
STPT(12)	1008290998673835047	0 2 12 14 42 44 132 134 162 164 174 176	709201888320