Prime p₀= 2929178638020694361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 22 2 28 2 46 2 40 2 (?)
a_n: 0 2 78 80 96 98 120 122 150 152 198 200 240 242
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: Landjunge
db: batch=82, k=14, 76 16 22 28 46 40

SPT(16)	2929176029946786941	0 48 66 80 180 182 210 216 242 248 276 278 378 392 410 458	-2608073907420
SPT(16)	2929176223494332923	0 4 28 34 60 88 118 144 154 180 210 238 264 270 294 298	-2414526361438
STPT(10)	2929177277268877247	0 2 30 32 42 44 54 56 84 86	-1360751817114
STPT(10)	2929177774653394109	0 2 18 20 30 32 42 44 60 62	-863367300252
SPT(16)	2929177810097067677	0 24 44 80 92 120 150 156 170 176 206 234 246 282 302 326	-827923626684
SPT(16)	2929178507907257159	0 12 60 78 80 98 120 138 164 182 204 222 224 242 290 302	-130113437202
STPT(10)	2929178703891684911	0 2 6 8 18 20 30 32 36 38	65870990550
SPT(16)	2929178799276897539	0 30 50 114 120 140 164 182 192 210 234 254 260 324 344 374	161256203178
SPT(16)	2929178951626726633	0 6 58 66 70 150 160 226 228 294 304 384 388 396 448 454	313606032272
SPT(16)	2929179018577619021	0 2 78 128 198 212 230 266 372 408 426 440 510 560 636 638	380556924660
SPT(16)	2929179232574769077	0 72 140 156 182 194 200 222 254 276 282 294 320 336 404 476	594554074716