Prime p₀= 798802790973690749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 154 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 42 44 198 200 210 212 240 242 252 254 288 290
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: 290
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 40 154 10 28 10 34

SPT(16)	798802387853993431	0 60 72 90 130 138 198 226 252 280 340 348 388 406 418 478	-403119697318
SPT(16)	798802426489413097	0 24 66 70 76 96 136 154 162 180 220 240 246 250 292 316	-364484277652
SPT(16)	798802626314984581	0 6 28 78 108 138 160 162 196 198 220 250 280 330 352 358	-164658706168
SPT(16)	798802679207305733	0 56 108 114 134 158 204 210 374 380 426 450 470 476 528 584	-111766385016
STPT(10)	798802707985694021	0 2 30 32 78 80 126 128 156 158	-82987996728
SPT(16)	798802764263925539	0 44 54 60 132 200 210 242 252 284 294 362 434 440 450 494	-26709765210
SPT(16)	798802942538729627	0 2 6 36 44 74 92 102 104 114 132 162 170 200 204 206	151565038878
SPT(16)	798803008674830899	0 10 24 34 60 84 108 112 210 214 238 262 288 298 312 322	217701140150
SPT(16)	798803065322554373	0 20 30 56 74 104 116 138 146 168 180 210 228 254 264 284	274348863624
SPT(16)	798803337533891821	0 36 42 106 202 262 286 322 336 372 396 456 552 616 622 658	546560201072
STPT(10)	798803542639588427	0 2 30 32 42 44 54 56 84 86	751665897678