Prime p₀= 2579783766137920031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 10 2 16 2 70 2 10 2 (?)
a_n: 0 2 30 32 126 128 138 140 156 158 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 28 94 10 16 70 10

TPT(14)	2579781739626883061	0 2 6 8 30 32 96 98 156 158 180 182 240 242	-2026511036970
STPT(10)	2579781960393130247	0 2 30 32 42 44 54 56 84 86	-1805744789784
SPT(16)	2579782738329470111	0 6 20 48 78 126 170 182 246 258 302 350 380 408 422 428	-1027808449920
SPT(16)	2579783131323613367	0 36 50 74 116 140 144 146 174 176 180 204 246 270 284 320	-634814306664
SPT(16)	2579783545332832229	0 128 188 200 210 228 230 234 314 318 320 338 348 360 420 548	-220805087802
STPT(10)	2579783722822652579	0 2 48 50 60 62 72 74 120 122	-43315267452
SPT(16)	2579784835326042049	0 34 72 94 114 144 150 154 198 202 208 238 258 280 318 352	1069188122018
SPT(16)	2579785238850050381	0 2 42 66 78 122 140 212 216 288 306 350 362 386 426 428	1472712130350
STPT(10)	2579785429111323569	0 2 48 50 90 92 132 134 180 182	1662973403538
SPT(16)	2579785462773125179	0 4 24 52 70 72 84 100 102 118 130 132 150 178 198 202	1696635205148
TPT(14)	2579785500564213209	0 2 30 32 48 50 90 92 132 134 162 164 168 170	1734426293178