Prime p₀= 3005084033406589787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 16 2 10 2 40 2 (?)
a_n: 0 2 30 32 42 44 72 74 90 92 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=14, 28 10 28 16 10 40

TPT(14)	3005082927839204129	0 2 12 14 30 32 78 80 150 152 210 212 222 224	-1105567385658
SPT(16)	3005083017626973449	0 62 84 144 152 168 192 194 258 260 284 300 308 368 390 452	-1015779616338
SPT(16)	3005083287249820481	0 6 12 26 66 68 90 96 152 158 180 182 222 236 242 248	-746156769306
SPT(16)	3005083805518794227	0 12 54 90 104 116 144 152 174 182 210 222 236 272 314 326	-227887795560
SPT(16)	3005083893092095817	0 2 60 90 104 140 270 272 312 314 444 480 494 524 582 584	-140314493970
SPT(16)	3005083938379832171	0 2 36 42 62 66 80 90 122 132 146 150 170 176 210 212	-95026757616
SPT(16)	3005084898635856149	0 38 54 60 68 98 114 128 150 164 180 210 218 224 240 278	865229266362
STPT(10)	3005085283438311509	0 2 18 20 60 62 102 104 120 122	1250031721722
STPT(10)	3005085316088932379	0 2 30 32 120 122 210 212 240 242	1282682342592
SPT(16)	3005086503999571841	0 12 36 38 66 122 128 152 306 330 336 392 420 422 446 458	2470592982054
STPT(10)	3005086616585374229	0 2 18 20 30 32 42 44 60 62	2583178784442