Prime p₀= 803117136087261857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 4 2 58 2 148 2 160 2 (?)
a_n: 0 2 24 26 114 116 120 122 180 182 330 332 492 494
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: 494
Found by: Vitalii Koshura
db: batch=73, k=14, 22 88 4 58 148 160

SPT(16)	803116469347989457	0 12 30 36 42 66 72 82 150 160 166 190 196 202 220 232	-666739272400
SPT(16)	803116724098545053	0 30 44 54 80 96 134 176 228 270 308 324 350 360 374 404	-411988716804
SPT(16)	803116730705964379	0 18 22 24 48 60 78 82 90 94 112 124 148 150 154 172	-405381297478
STPT(10)	803116845408350909	0 2 42 44 60 62 78 80 120 122	-290678910948
STPT(10)	803116854894639809	0 2 18 20 30 32 42 44 60 62	-281192622048
STPT(10)	803116917889113797	0 2 12 14 72 74 132 134 144 146	-218198148060
SPT(16)	803117604917816191	0 16 40 48 58 66 82 160 198 276 292 300 310 318 342 358	468830554334
STPT(10)	803117758982994149	0 2 30 32 60 62 90 92 120 122	622895732292
SPT(16)	803117822485206727	0 4 6 46 64 70 130 156 160 186 246 252 270 310 312 316	686397944870
STPT(10)	803118095826936179	0 2 42 44 90 92 138 140 180 182	959739674322
STPT(10)	803118391643095667	0 2 42 44 72 74 102 104 144 146	1255555833810