Prime p₀= 3029838674870645039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 40 2 10 2 16 2 10 2 (?)
a_n: 0 2 48 50 78 80 120 122 132 134 150 152 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=14, 46 28 40 10 16 10

SPT(16)	3029836787509892891	0 48 68 90 110 128 152 156 212 216 240 258 278 300 320 368	-1887360752148
STPT(10)	3029837202401267309	0 2 42 44 60 62 78 80 120 122	-1472469377730
SPT(16)	3029837585052160711	0 6 22 70 78 112 138 166 372 400 426 460 468 516 532 538	-1089818484328
SPT(16)	3029837697199350239	0 24 30 60 80 98 138 144 164 170 210 228 248 278 284 308	-977671294800
SPT(18)	3029837850058112207	0 30 56 74 176 210 254 266 312 314 360 372 416 450 552 570 596 626	-824812532832
SPT(16)	3029838631521915547	0 10 42 76 90 102 124 126 130 132 154 166 180 214 246 256	-43348729492
STPT(10)	3029838799689185831	0 2 6 8 48 50 90 92 96 98	124818540792
TPT(14)	3029838863513055689	0 2 30 32 60 62 102 104 132 134 210 212 252 254	188642410650
SPT(16)	3029838879021116821	0 18 46 58 70 120 136 178 198 240 256 306 318 330 358 376	204150471782
STPT(10)	3029839221808686641	0 2 6 8 48 50 90 92 96 98	546938041602
STPT(10)	3029839825840205921	0 2 6 8 48 50 90 92 96 98	1150969560882