Prime p₀= 1008464821179595319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 52 2 4 2 172 2 4 2 (?)
a_n: 0 2 42 44 138 140 192 194 198 200 372 374 378 380
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: 380
Found by: Theadalus
db: batch=76, k=14, 40 94 52 4 172 4

STPT(10)	1008463468636315589	0 2 18 20 30 32 42 44 60 62	-1352543279730
SPT(16)	1008464104483161449	0 50 62 90 92 102 110 162 200 252 260 270 272 300 312 362	-716696433870
STPT(10)	1008464132680568321	0 2 6 8 18 20 30 32 36 38	-688499026998
STPT(10)	1008464433609893471	0 2 30 32 78 80 126 128 156 158	-387569701848
SPT(16)	1008464463170746801	0 22 42 76 90 160 168 172 186 190 198 268 282 316 336 358	-358008848518
SPT(16)	1008464673895073987	0 30 42 104 114 120 132 146 210 224 236 242 252 314 326 356	-147284521332
STPT(10)	1008465441064006697	0 2 90 92 102 104 114 116 204 206	619884411378
STPT(10)	1008465608029315937	0 2 12 14 72 74 132 134 144 146	786849720618
SPT(16)	1008465637241349569	0 8 18 32 72 84 102 122 210 230 248 260 300 314 324 332	816061754250
STPT(10)	1008465780204624347	0 2 60 62 72 74 84 86 144 146	959025029028
SPT(16)	1008466075909647997	0 6 12 36 52 64 76 82 204 210 222 234 250 274 280 286	1254730052678