Prime p₀= 2820276120596380709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 88 2 46 2 28 2 (?)
a_n: 0 2 42 44 48 50 90 92 180 182 228 230 258 260
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: 260
Found by: fzs600
db: batch=82, k=14, 40 4 40 88 46 28

STPT(10)	2820273375441103817	0 2 42 44 72 74 102 104 144 146	-2745155276892
SPT(16)	2820273803787638381	0 42 72 80 98 140 176 182 186 192 228 270 288 296 326 368	-2316808742328
SPT(16)	2820274009091111899	0 30 72 84 130 132 190 204 208 222 280 282 328 340 382 412	-2111505268810
TPT(14)	2820275073692216837	0 2 30 32 54 56 72 74 90 92 102 104 114 116	-1046904163872
STPT(10)	2820275645752194437	0 2 42 44 132 134 222 224 264 266	-474844186272
SPT(16)	2820275770004127529	0 12 34 52 64 70 78 84 118 124 132 138 150 168 190 202	-350592253180
SPT(16)	2820276341131243151	0 2 26 86 128 138 212 306 422 516 590 600 642 702 726 728	220534862442
STPT(10)	2820276546819518987	0 2 30 32 72 74 114 116 144 146	426223138278
STPT(10)	2820276603867995957	0 2 24 26 42 44 60 62 84 86	483271615248
STPT(10)	2820276942457904099	0 2 18 20 30 32 42 44 60 62	821861523390
SPT(16)	2820278718382295197	0 16 34 70 84 100 102 124 132 154 156 172 186 222 240 256	2597785914488