Prime p₀= 1437077547658750691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 100 2 28 2 34 2 28 2 (?)
a_n: 0 2 36 38 78 80 180 182 210 212 246 248 276 278
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: 278
Found by: vinn@[CNT]
db: batch=78, k=14, 34 40 100 28 34 28

SPT(16)	1437076674917152879	0 4 58 60 88 112 142 154 168 180 210 234 262 264 318 322	-872741597812
STPT(10)	1437077056283913659	0 2 18 20 30 32 42 44 60 62	-491374837032
STPT(10)	1437077115994347197	0 2 30 32 42 44 54 56 84 86	-431664403494
STPT(10)	1437077199524701331	0 2 36 38 78 80 120 122 156 158	-348134049360
TPT(14)	1437077248422461771	0 2 108 110 156 158 168 170 270 272 336 338 360 362	-299236288920
SPT(16)	1437077322360965707	0 24 36 52 60 66 100 114 142 156 190 196 204 220 232 256	-225297784984
STPT(10)	1437077560160873327	0 2 12 14 72 74 132 134 144 146	12502122636
STPT(10)	1437077993004605681	0 2 36 38 78 80 120 122 156 158	445345854990
SPT(16)	1437078039900028543	0 36 54 64 84 118 124 136 138 150 156 190 210 220 238 274	492241277852
STPT(10)	1437078101048741771	0 2 156 158 168 170 180 182 336 338	553389991080
SPT(16)	1437078101309268991	0 16 30 40 108 172 178 238 240 300 306 370 438 448 462 478	553650518300