Prime p₀= 2384223809722664279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 58 2 4 2 28 2 28 2 (?)
a_n: 0 2 12 14 42 44 102 104 108 110 138 140 168 170
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: 170
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 28 58 4 28 28

SPT(16)	2384222685027473011	0 16 18 28 36 40 60 88 138 166 186 190 198 208 210 226	-1124695191268
STPT(10)	2384222815625010329	0 2 12 14 30 32 48 50 60 62	-994097653950
SPT(16)	2384222828358482431	0 6 36 48 78 82 90 160 168 238 246 250 280 292 322 328	-981364181848
SPT(16)	2384223071274768517	0 34 72 94 106 124 132 156 160 184 192 210 222 244 282 316	-738447895762
SPT(16)	2384223097082668729	0 4 24 34 40 108 112 130 132 150 154 222 228 238 258 262	-712639995550
STPT(10)	2384223385098978089	0 2 18 20 60 62 102 104 120 122	-424623686190
SPT(16)	2384224023787585423	0 34 54 100 114 136 174 190 210 226 264 286 300 346 366 400	214064921144
SPT(16)	2384224029188835377	0 12 20 56 62 96 126 194 222 290 320 354 360 396 404 416	219466171098
STPT(10)	2384224781917341149	0 2 48 50 90 92 132 134 180 182	972194676870
SPT(16)	2384225521098116789	0 2 44 92 104 108 162 164 168 170 224 228 240 288 330 332	1711375452510
STPT(10)	2384226719431898447	0 2 12 14 42 44 72 74 84 86	2909709234168