Prime p₀= 901665403812617219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 106 2 40 2 4 2 40 2 (?)
a_n: 0 2 18 20 72 74 180 182 222 224 228 230 270 272
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: 272
Found by: Theadalus
db: batch=76, k=14, 16 52 106 40 4 40

SPT(16)	901664451345974747	0 12 56 60 74 92 126 140 216 230 264 282 296 300 344 356	-952466642472
SPT(16)	901664523009366379	0 30 82 90 180 198 222 238 294 310 334 352 442 450 502 532	-880803250840
STPT(10)	901664801468323559	0 2 42 44 60 62 78 80 120 122	-602344293660
SPT(16)	901664898051615947	0 2 6 12 44 84 126 132 194 200 242 282 314 320 324 326	-505761001272
SPT(18)	901665283581980693	0 6 24 66 98 138 150 198 306 308 416 464 476 516 548 590 608 614	-120230636526
SPT(16)	901665367603708159	0 28 60 78 102 162 222 240 280 298 358 418 442 460 492 520	-36208909060
STPT(10)	901665424226490527	0 2 42 44 102 104 162 164 204 206	20413873308
STPT(10)	901665713653283207	0 2 30 32 72 74 114 116 144 146	309840665988
SPT(16)	901665720178463027	0 30 42 56 86 102 110 132 140 162 170 186 216 230 242 272	316365845808
SPT(16)	901666286613380107	0 40 42 52 112 130 166 172 234 240 276 294 354 364 366 406	882800762888
TPT(14)	901666363822100417	0 2 30 32 72 74 144 146 162 164 210 212 342 344	960009483198