Prime p₀= 1507158341805328109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 28 2 4 2 22 2 (?)
a_n: 0 2 18 20 30 32 42 44 72 74 78 80 102 104
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: 104
Found by: biodoc
db: batch=78, k=14, 16 10 10 28 4 22

STPT(12)	1507157283926824457	0 2 12 14 30 32 72 74 90 92 102 104	-1057878503652
SPT(16)	1507157323317988759	0 42 70 72 114 148 160 162 280 282 294 328 370 372 400 442	-1018487339350
SPT(16)	1507157838685847011	0 6 66 70 82 102 130 180 208 258 286 306 318 322 382 388	-503119481098
SPT(20)	1507157909403715067	0 14 24 56 66 72 80 116 126 174 182 230 240 276 284 290 300 332 342 356	-432401613042
SPT(16)	1507157920592116981	0 40 52 66 82 138 166 210 238 282 310 366 382 396 408 448	-421213211128
SPT(16)	1507158141931438193	0 30 98 114 116 156 158 164 240 246 248 288 290 306 374 404	-199873889916
SPT(16)	1507158353221417529	0 14 62 72 78 188 204 320 402 518 534 644 650 660 708 722	11416089420
STPT(10)	1507158372500210777	0 2 12 14 42 44 72 74 84 86	30694882668
STPT(10)	1507158463125175871	0 2 6 8 48 50 90 92 96 98	121319847762
SPT(16)	1507158465080447833	0 10 16 30 36 106 108 148 156 196 198 268 274 288 294 304	123275119724
SPT(13)	1507158572850431383	0 18 84 120 138 168 204 240 270 288 324 390 408	231045103274