Prime p₀= 2074668484895900207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 112 2 64 2 40 2 10 2 4 2 (?)
a_n: 0 2 30 32 144 146 210 212 252 254 264 266 270 272
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: Landjunge
db: batch=80, k=14, 28 112 64 40 10 4

SPT(16)	2074666885303950439	0 34 40 52 54 90 94 112 132 150 154 190 192 204 210 244	-1599591949768
STPT(10)	2074667266698964829	0 2 48 50 90 92 132 134 180 182	-1218196935378
STPT(10)	2074667597417485529	0 2 18 20 30 32 42 44 60 62	-887478414678
SPT(16)	2074667834185470707	0 2 32 80 86 96 140 170 192 222 266 276 282 330 360 362	-650710429500
STPT(10)	2074668004539978389	0 2 78 80 150 152 222 224 300 302	-480355921818
SPT(16)	2074668118806932281	0 70 96 120 166 180 198 202 246 250 268 282 328 352 378 448	-366088967926
STPT(10)	2074668538307848631	0 2 30 32 78 80 126 128 156 158	53411948424
STPT(10)	2074668561981696017	0 2 30 32 42 44 54 56 84 86	77085795810
SPT(16)	2074668578870995259	0 18 54 62 78 92 132 174 188 230 270 284 300 308 344 362	93975095052
STPT(10)	2074668711613500551	0 2 6 8 48 50 90 92 96 98	226717600344
SPT(16)	2074668741039006577	0 66 106 180 220 222 244 252 274 282 304 306 346 420 460 526	256143106370