Prime p₀= 781355809285897997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 178 2 16 2 10 2 208 2 (?)
a_n: 0 2 72 74 114 116 294 296 312 314 324 326 534 536
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: 536
Found by: Laurent Cheylat
db: batch=73, k=14, 70 40 178 16 10 208

SPT(16)	781355312291320601	0 2 20 66 86 126 156 168 230 242 272 312 332 378 396 398	-496994577396
SPT(16)	781355392648725731	0 30 36 48 56 62 78 92 96 110 126 132 140 152 158 188	-416637172266
STPT(10)	781355444422312391	0 2 30 32 78 80 126 128 156 158	-364863585606
SPT(16)	781355508068590333	0 16 40 46 58 60 84 90 154 160 184 186 198 204 228 244	-301217307664
SPT(16)	781355577633490039	0 4 42 118 160 180 214 220 252 258 292 312 354 430 468 472	-231652407958
STPT(10)	781355713117228817	0 2 12 14 42 44 72 74 84 86	-96168669180
SPT(16)	781355910616991341	0 58 102 130 142 162 240 282 286 328 406 426 438 466 510 568	101331093344
TPT(14)	781355980522189757	0 2 12 14 102 104 144 146 150 152 192 194 252 254	171236291760
STPT(10)	781356131452217639	0 2 42 44 90 92 138 140 180 182	322166319642
STPT(10)	781356236470730741	0 2 6 8 18 20 30 32 36 38	427184832744
SPT(16)	781356509657461223	0 36 66 78 80 120 140 146 198 204 224 264 266 278 308 344	700371563226