Prime p₀= 786171791556686417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 28 2 4 2 28 2 (?)
a_n: 0 2 42 44 54 56 84 86 114 116 120 122 150 152
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: 152
Found by: Egon olsen
db: batch=73, k=14, 40 10 28 28 4 28

SPT(16)	786169931466694847	0 36 80 120 134 156 164 204 206 246 254 276 290 330 374 410	-1860089991570
SPT(16)	786170006992422337	0 52 64 84 94 96 124 126 130 132 160 162 172 192 204 256	-1784564264080
SPT(16)	786170322272508883	0 6 34 36 64 114 154 166 234 246 286 336 364 366 394 400	-1469284177534
SPT(16)	786171065128750913	0 14 30 54 56 66 78 98 276 296 308 318 320 344 360 374	-726427935504
STPT(10)	786171108461344181	0 2 36 38 78 80 120 122 156 158	-683095342236
SPT(16)	786171464301185689	0 28 58 60 88 102 112 124 198 210 220 234 262 264 294 322	-327255500728
STPT(10)	786171803968306571	0 2 6 8 48 50 90 92 96 98	12411620154
SPT(16)	786172378066738183	0 24 34 154 166 174 184 210 274 300 310 318 330 450 460 484	586510051766
SPT(16)	786172617626032379	0 2 92 114 198 210 212 224 228 240 242 254 338 360 450 452	826069345962
STPT(10)	786173036479605329	0 2 42 44 60 62 78 80 120 122	1244922918912
SPT(16)	786173308130027359	0 10 24 54 112 132 150 154 258 262 280 300 358 388 402 412	1516573340942