Prime p₀= 3018721361327429099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 40 2 58 2 136 2 10 2 28 2 (?)
a_n: 0 2 138 140 180 182 240 242 378 380 390 392 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 136 40 58 136 10 28

TPT(14)	3018718853794006331	0 2 36 38 138 140 168 170 258 260 276 278 336 338	-2507533422768
SPT(16)	3018719098582053973	0 16 18 28 30 40 46 60 64 78 84 94 96 106 108 124	-2262745375126
SPT(16)	3018719295357387397	0 66 76 136 166 174 180 184 252 256 262 270 300 360 370 436	-2065970041702
STPT(10)	3018719445151362389	0 2 48 50 90 92 132 134 180 182	-1916176066710
STPT(10)	3018719690006128637	0 2 42 44 72 74 102 104 144 146	-1671321300462
SPT(16)	3018720551348460241	0 72 100 112 156 160 178 202 216 240 258 262 306 318 346 418	-809978968858
STPT(10)	3018721667312277131	0 2 6 8 18 20 30 32 36 38	305984848032
SPT(16)	3018722081919968873	0 56 80 108 114 120 126 170 234 278 284 290 296 324 348 404	720592539774
SPT(16)	3018722829751669627	0 34 54 60 82 90 96 160 186 250 256 264 286 292 312 346	1468424240528
SPT(16)	3018722880511217287	0 6 72 90 102 114 130 136 150 156 172 184 196 214 280 286	1519183788188
TPT(14)	3018723269144255291	0 2 78 80 150 152 168 170 210 212 246 248 306 308	1907816826192