Prime p₀= 2018068930002475349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 130 2 4 2 112 2 (?)
a_n: 0 2 18 20 42 44 60 62 192 194 198 200 312 314
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: 314
Found by: vaughan
db: batch=80, k=14, 16 22 16 130 4 112

SPT(16)	2018067941542509007	0 40 54 72 82 114 126 142 144 160 172 204 214 232 246 286	-988459966342
SPT(16)	2018068127168954669	0 8 84 134 162 168 188 200 372 384 404 410 438 488 564 572	-802833520680
STPT(10)	2018068305059519861	0 2 30 32 78 80 126 128 156 158	-624942955488
STPT(10)	2018068583987680979	0 2 18 20 30 32 42 44 60 62	-346014794370
STPT(10)	2018068717213200011	0 2 6 8 48 50 90 92 96 98	-212789275338
SPT(16)	2018068842312148543	0 4 78 106 108 144 196 256 288 348 400 436 438 466 540 544	-87690326806
SPT(16)	2018069035117993961	0 6 32 60 78 98 116 132 146 162 180 200 218 246 272 278	105115518612
SPT(16)	2018069161754611139	0 14 20 38 62 98 128 132 140 144 174 210 234 252 258 272	231752135790
TPT(14)	2018069175339386129	0 2 42 44 48 50 72 74 102 104 162 164 240 242	245336910780
STPT(10)	2018069229186824267	0 2 24 26 42 44 60 62 84 86	299184348918
STPT(10)	2018069828373374549	0 2 48 50 90 92 132 134 180 182	898370899200