Prime p₀= 1258199338591652579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 42 44 108 110 150 152 168 170 180 182
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: 182
Found by: vaughan
db: batch=77, k=14, 10 28 64 40 16 10

SPT(16)	1258198032757963613	0 50 56 66 68 156 170 198 248 276 290 378 380 390 396 446	-1305833688966
SPT(16)	1258198159665267167	0 2 14 32 54 102 110 114 140 144 152 200 222 240 252 254	-1178926385412
STPT(12)	1258198183624603049	0 2 132 134 162 164 180 182 210 212 342 344	-1154967049530
STPT(10)	1258198932745733159	0 2 18 20 30 32 42 44 60 62	-405845919420
SPT(16)	1258198992474273569	0 14 30 54 90 98 150 152 210 212 264 272 308 332 348 362	-346117379010
SPT(16)	1258199103430986583	0 10 16 54 66 70 84 100 150 166 180 184 196 234 240 250	-235160665996
SPT(16)	1258199437658543417	0 44 72 92 120 162 176 186 230 240 254 296 324 344 372 416	99066890838
SPT(18)	1258199461098741977	0 36 44 62 96 102 144 156 176 180 200 212 254 260 294 312 320 356	122507089398
STPT(10)	1258199602638012911	0 2 30 32 60 62 90 92 120 122	264046360332
STPT(10)	1258200299633437211	0 2 6 8 18 20 30 32 36 38	961041784632
STPT(10)	1258200587243160107	0 2 30 32 42 44 54 56 84 86	1248651507528