Prime p₀= 2005094094784761347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 28 2 58 2 76 2 142 2 (?)
a_n: 0 2 54 56 132 134 162 164 222 224 300 302 444 446
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: 446
Found by: MechWarrior
db: batch=80, k=14, 52 76 28 58 76 142

SPT(16)	2005092326875222853	0 24 38 86 108 156 170 176 198 204 218 266 288 336 350 374	-1767909538494
SPT(16)	2005092786984443003	0 8 44 56 74 78 110 116 138 144 176 180 198 210 246 254	-1307800318344
STPT(10)	2005092871914358271	0 2 90 92 108 110 126 128 216 218	-1222870403076
SPT(16)	2005093791690066601	0 12 16 18 72 82 96 108 130 142 156 166 220 222 226 238	-303094694746
SPT(16)	2005093811088528301	0 16 42 52 66 100 102 120 172 190 192 226 240 250 276 292	-283696233046
STPT(10)	2005093997947106189	0 2 12 14 30 32 48 50 60 62	-96837655158
SPT(16)	2005094114329974617	0 24 42 66 162 176 180 252 284 356 360 374 470 494 512 536	19545213270
SPT(16)	2005094204440456189	0 22 60 88 168 172 210 280 282 352 390 394 474 502 540 562	109655694842
SPT(16)	2005094576602709401	0 18 52 60 130 150 186 196 252 262 298 318 388 396 430 448	481817948054
TPT(14)	2005094605051442621	0 2 36 38 66 68 96 98 288 290 300 302 330 332	510266681274
SPT(16)	2005094622262457951	0 26 36 60 78 110 120 140 198 218 228 260 278 302 312 338	527477696604