Prime p₀= 1543246395862455311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 52 2 34 2 10 2 40 2 (?)
a_n: 0 2 18 20 96 98 150 152 186 188 198 200 240 242
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: xii5ku
db: batch=78, k=14, 16 76 52 34 10 40

SPT(16)	1543244241973011817	0 4 42 70 72 82 84 106 120 142 144 154 156 184 222 226	-2153889443494
STPT(10)	1543244708668486037	0 2 30 32 42 44 54 56 84 86	-1687193969274
SPT(16)	1543245053022347137	0 36 42 46 84 94 106 112 144 150 162 172 210 214 220 256	-1342840108174
SPT(16)	1543245878180608013	0 66 104 126 144 158 194 200 384 390 426 440 458 480 518 584	-517681847298
SPT(16)	1543245952647576643	0 34 96 138 148 180 228 270 274 316 364 396 406 448 510 544	-443214878668
SPT(16)	1543246324307191157	0 42 56 62 80 86 92 122 180 210 216 222 240 246 260 302	-71555264154
SPT(16)	1543246472837187061	0 40 60 66 76 136 160 166 186 192 216 276 286 292 312 352	76974731750
TPT(14)	1543246545094447931	0 2 36 38 90 92 138 140 150 152 246 248 258 260	149231992620
TPT(14)	1543246664668077377	0 2 24 26 180 182 192 194 294 296 420 422 444 446	268805622066
SPT(16)	1543247747673193657	0 36 46 90 96 106 130 210 250 330 354 364 370 414 424 460	1351810738346
STPT(10)	1543247903804502191	0 2 6 8 18 20 30 32 36 38	1507942046880