Prime p₀= 1245810575230864859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 34 2 28 2 10 2 16 2 (?)
a_n: 0 2 12 14 72 74 108 110 138 140 150 152 168 170
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: 170
Found by: HenkM
db: batch=77, k=14, 10 58 34 28 10 16

SPT(18)	1245809796165006847	0 12 40 60 66 76 84 102 112 144 154 172 180 190 196 216 244 256	-779065858012
TPT(14)	1245809808647524649	0 2 60 62 72 74 90 92 198 200 240 242 270 272	-766583340210
TPT(14)	1245809880482370431	0 2 18 20 60 62 96 98 138 140 198 200 228 230	-694748494428
SPT(16)	1245809911815385337	0 26 50 114 134 152 156 204 212 260 264 282 302 366 390 416	-663415479522
STPT(10)	1245810175792107461	0 2 6 8 48 50 90 92 96 98	-399438757398
SPT(16)	1245810341257496257	0 34 64 66 84 94 124 126 130 132 162 172 190 192 222 256	-233973368602
SPT(16)	1245810775338927907	0 4 36 40 46 124 126 132 154 160 162 240 246 250 282 286	200108063048
STPT(10)	1245811023827749409	0 2 18 20 30 32 42 44 60 62	448596884550
SPT(16)	1245811220956387321	0 66 70 88 126 132 162 172 276 286 316 322 360 378 382 448	645725522462
STPT(10)	1245811379607422519	0 2 12 14 90 92 168 170 180 182	804376557660
SPT(16)	1245811457789556877	0 10 30 42 46 52 60 76 126 142 150 156 160 172 192 202	882558692018