Prime p₀= 2579815979854595561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 76 2 40 2 100 2 154 2 (?)
a_n: 0 2 6 8 78 80 156 158 198 200 300 302 456 458
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: 458
Found by: JayPi
db: batch=82, k=14, 4 70 76 40 100 154

SPT(16)	2579814548905336661	0 6 20 42 48 86 92 98 150 156 162 200 206 228 242 248	-1430949258900
STPT(10)	2579814675400213211	0 2 36 38 78 80 120 122 156 158	-1304454382350
TPT(14)	2579814723760282007	0 2 30 32 42 44 84 86 102 104 114 116 180 182	-1256094313554
SPT(16)	2579814814797415831	0 28 42 58 100 132 138 160 180 202 208 240 282 298 312 340	-1165057179730
SPT(16)	2579815116141398089	0 10 28 58 70 78 94 108 160 174 190 198 210 240 258 268	-863713197472
SPT(16)	2579815271606567143	0 6 28 70 84 90 114 120 154 160 184 190 204 246 268 274	-708248028418
STPT(10)	2579816002646389691	0 2 30 32 60 62 90 92 120 122	22791794130
STPT(10)	2579816067012300329	0 2 12 14 90 92 168 170 180 182	87157704768
SPT(16)	2579816161760864167	0 10 30 70 72 84 114 270 274 430 460 472 474 514 534 544	181906268606
SPT(16)	2579816849883044593	0 64 78 148 174 196 198 226 258 286 288 310 336 406 420 484	870028449032
STPT(10)	2579817090477395147	0 2 30 32 42 44 54 56 84 86	1110622799586