Prime p₀= 1303427090350518041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 58 2 10 2 148 2 88 2 (?)
a_n: 0 2 60 62 126 128 186 188 198 200 348 350 438 440
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: 440
Found by: HenkM
db: batch=77, k=14, 58 64 58 10 148 88

STPT(10)	1303425885346262297	0 2 42 44 72 74 102 104 144 146	-1205004255744
TPT(14)	1303426373311221281	0 2 210 212 288 290 306 308 330 332 336 338 348 350	-717039296760
SPT(16)	1303426421794448947	0 84 132 184 190 216 220 256 300 336 340 366 372 424 472 556	-668556069094
SPT(16)	1303426687684278023	0 44 74 84 98 116 140 146 168 174 198 216 230 240 270 314	-402666240018
SPT(16)	1303426718791080029	0 54 60 104 108 164 188 200 342 354 378 434 438 482 488 542	-371559438012
SPT(16)	1303426841435572537	0 22 36 76 84 154 162 166 210 214 222 292 300 340 354 376	-248914945504
STPT(10)	1303427175056499671	0 2 6 8 48 50 90 92 96 98	84705981630
STPT(10)	1303427580405290297	0 2 60 62 72 74 84 86 144 146	490054772256
SPT(16)	1303427628674287927	0 12 154 184 210 240 252 264 280 292 304 334 360 390 532 544	538323769886
SPT(16)	1303427639896037231	0 38 42 60 72 78 86 108 140 162 170 176 188 206 210 248	549545519190
STPT(10)	1303427953245173177	0 2 42 44 102 104 162 164 204 206	862894655136