Prime p₀= 1908928406364766271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 178 2 16 2 28 2 52 2 106 2 (?)
a_n: 0 2 18 20 198 200 216 218 246 248 300 302 408 410
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: 410
Found by: Landjunge
db: batch=80, k=14, 16 178 16 28 52 106

SPT(16)	1908927570290878957	0 4 24 42 52 72 100 112 252 264 292 312 322 340 360 364	-836073887314
SPT(16)	1908927663614716567	0 6 12 16 42 120 166 196 210 240 286 364 390 394 400 406	-742750049704
SPT(16)	1908927677062642141	0 48 52 66 70 72 118 136 222 240 286 288 292 306 310 358	-729302124130
STPT(10)	1908927760109681219	0 2 18 20 30 32 42 44 60 62	-646255085052
SPT(16)	1908927790618878371	0 60 72 80 96 122 128 146 192 210 216 242 258 266 278 338	-615745887900
STPT(10)	1908928085607192701	0 2 6 8 18 20 30 32 36 38	-320757573570
SPT(16)	1908928502700816673	0 10 16 114 156 168 174 180 214 220 226 238 280 378 384 394	96336050402
SPT(16)	1908928670307270721	0 46 76 90 126 132 162 172 240 250 280 286 322 336 366 412	263942504450
STPT(10)	1908928725656802737	0 2 24 26 42 44 60 62 84 86	319292036466
SPT(16)	1908928876343085431	0 6 42 80 98 116 146 198 200 252 282 300 318 356 392 398	469978319160
STPT(10)	1908928903834373807	0 2 12 14 42 44 72 74 84 86	497469607536