Prime p₀= 1014484084649955971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 18 20 30 32 36 38 78 80 120 122 126 128
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: 128
Found by: Skivelitis2
db: batch=76, k=14, 16 10 4 40 40 4

STPT(10)	1014483271573236761	0 2 6 8 18 20 30 32 36 38	-813076719210
SPT(16)	1014483515206935041	0 32 36 38 42 50 78 90 218 230 258 266 270 272 276 308	-569443020930
STPT(10)	1014483708621939761	0 2 6 8 18 20 30 32 36 38	-376028016210
SPT(16)	1014483840838997813	0 30 60 86 126 128 140 170 186 216 228 230 270 296 326 356	-243810958158
TPT(14)	1014483902913344291	0 2 30 32 96 98 108 110 126 128 138 140 150 152	-181736611680
SPT(16)	1014483933723843589	0 24 28 30 34 48 70 90 178 198 220 234 238 240 244 268	-150926112382
STPT(10)	1014484084649956001	0 2 6 8 48 50 90 92 96 98	30
SPT(16)	1014484382855831359	0 28 64 118 120 150 190 198 244 252 292 322 324 378 414 442	298205875388
STPT(10)	1014484465233132317	0 2 12 14 72 74 132 134 144 146	380583176346
SPT(16)	1014484573760300239	0 4 24 28 48 70 102 112 150 160 192 214 234 238 258 262	489110344268
SPT(16)	1014484677134386313	0 20 30 44 128 140 254 260 294 300 414 426 510 524 534 554	592484430342