Prime p₀= 2004208906698845849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 118 2 112 2 16 2 10 2 (?)
a_n: 0 2 30 32 78 80 198 200 312 314 330 332 342 344
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: 344
Found by: Landjunge
db: batch=80, k=14, 28 46 118 112 16 10

STPT(10)	2004207361387451201	0 2 36 38 78 80 120 122 156 158	-1545311394648
STPT(10)	2004207693844826549	0 2 48 50 60 62 72 74 120 122	-1212854019300
SPT(16)	2004208413474723767	0 12 44 56 72 80 104 114 122 132 156 164 180 192 224 236	-493224122082
STPT(10)	2004208416227461517	0 2 84 86 192 194 300 302 384 386	-490471384332
STPT(10)	2004208881010083029	0 2 18 20 60 62 102 104 120 122	-25688762820
SPT(16)	2004208895328505121	0 12 18 26 36 62 78 102 176 200 216 242 252 260 266 278	-11370340728
SPT(16)	2004209110709115143	0 8 54 60 86 126 164 176 228 240 278 318 344 350 396 404	204010269294
SPT(16)	2004209128232622959	0 8 20 42 62 98 104 140 162 198 204 240 260 282 294 302	221533777110
SPT(16)	2004209327216992151	0 48 50 72 90 92 128 168 230 270 306 308 326 348 350 398	420518146302
TPT(14)	2004209476624520609	0 2 12 14 42 44 78 80 108 110 132 134 138 140	569925674760
STPT(10)	2004210215708770841	0 2 36 38 78 80 120 122 156 158	1309009924992