Prime p₀= 2463402999640353401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 34 2 40 2 76 2 10 2 (?)
a_n: 0 2 78 80 120 122 156 158 198 200 276 278 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 76 40 34 40 76 10

STPT(10)	2463401738140478297	0 2 30 32 42 44 54 56 84 86	-1261499875104
STPT(10)	2463402109766976359	0 2 18 20 60 62 102 104 120 122	-889873377042
SPT(16)	2463402212495314393	0 34 36 64 78 94 114 150 154 190 210 226 240 268 270 304	-787145039008
TPT(16)	2463402257586510671	0 2 60 62 138 140 156 158 300 302 378 380 408 410 426 428	-742053842730
SPT(16)	2463402599857685323	0 28 40 84 138 166 180 204 250 274 288 316 370 414 426 454	-399782668078
STPT(10)	2463402847783887179	0 2 18 20 30 32 42 44 60 62	-151856466222
STPT(12)	2463402999640353401	0 2 78 80 120 122 156 158 198 200 276 278	0
STPT(10)	2463403279341504959	0 2 42 44 90 92 138 140 180 182	279701151558
STPT(10)	2463403306361978801	0 2 6 8 18 20 30 32 36 38	306721625400
SPT(16)	2463403367039205179	0 18 24 42 80 92 98 108 134 144 150 162 200 218 224 242	367398851778
SPT(16)	2463403896580247989	0 12 40 58 70 78 88 90 112 114 124 132 144 162 190 202	896939894588