Prime p₀= 2003293579816186457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 4 2 82 2 106 2 10 2 (?)
a_n: 0 2 60 62 114 116 120 122 204 206 312 314 324 326
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: 326
Found by: Orange Kid
db: batch=80, k=14, 58 52 4 82 106 10

STPT(10)	2003291946553382489	0 2 42 44 90 92 138 140 180 182	-1633262803968
SPT(16)	2003292402427979909	0 2 8 68 78 110 158 164 198 204 252 284 294 354 360 362	-1177388206548
STPT(10)	2003292497596775027	0 2 30 32 42 44 54 56 84 86	-1082219411430
SPT(16)	2003292513380139739	0 28 72 90 132 148 162 172 228 238 252 268 310 328 372 400	-1066436046718
SPT(16)	2003292591766563871	0 12 22 28 42 48 60 90 118 148 160 166 180 186 196 208	-988049622586
SPT(20)	2003292702174287963	0 48 50 54 66 84 110 134 150 236 258 344 360 384 410 428 440 444 446 494	-877641898494
TPT(14)	2003293613439868571	0 2 108 110 180 182 246 248 288 290 306 308 336 338	33623682114
STPT(10)	2003293634602906739	0 2 18 20 30 32 42 44 60 62	54786720282
SPT(16)	2003293673357552029	0 12 34 48 90 114 132 142 150 160 178 202 244 258 280 292	93541365572
SPT(16)	2003293895969525321	0 42 50 68 78 138 156 182 276 302 320 380 390 408 416 458	316153338864
STPT(10)	2003294131313329871	0 2 30 32 78 80 126 128 156 158	551497143414