Prime p₀= 1014578957476876577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 10 2 28 2 10 2 64 2 (?)
a_n: 0 2 84 86 90 92 102 104 132 134 144 146 210 212
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: 212
Found by: HenkM
db: batch=76, k=14, 82 4 10 28 10 64

STPT(10)	1014578062190362721	0 2 6 8 18 20 30 32 36 38	-895286513856
SPT(16)	1014578091620377639	0 54 78 102 120 124 132 138 154 160 168 172 190 214 238 292	-865856498938
SPT(16)	1014578178723320791	0 42 72 82 108 118 132 150 160 178 192 202 228 238 268 310	-778753555786
STPT(10)	1014578246028726719	0 2 18 20 30 32 42 44 60 62	-711448149858
STPT(10)	1014578447980416461	0 2 6 8 18 20 30 32 36 38	-509496460116
SPT(16)	1014578802079625561	0 32 50 56 116 122 132 146 162 176 186 192 252 258 276 308	-155397251016
SPT(16)	1014579100464479579	0 18 30 38 84 98 110 164 198 252 264 278 324 332 344 362	142987603002
SPT(16)	1014579282984386947	0 6 42 64 66 72 142 154 192 204 274 280 282 304 340 346	325507510370
TPT(14)	1014579311634099317	0 2 30 32 84 86 150 152 162 164 234 236 240 242	354157222740
TPT(14)	1014579535304897057	0 2 12 14 60 62 84 86 114 116 150 152 210 212	577828020480
STPT(10)	1014579789435441371	0 2 6 8 18 20 30 32 36 38	831958564794