Prime p₀= 2562560080827986801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 28 2 40 2 16 2 28 2 (?)
a_n: 0 2 78 80 168 170 198 200 240 242 258 260 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 76 88 28 40 16 28

STPT(10)	2562559264427726357	0 2 54 56 132 134 210 212 264 266	-816400260444
SPT(16)	2562559524469096513	0 4 34 40 70 88 96 100 114 118 126 144 174 180 210 214	-556358890288
SPT(16)	2562559536034036829	0 2 30 38 44 78 80 98 114 132 134 168 174 182 210 212	-544793949972
SPT(16)	2562559553863793563	0 4 24 28 30 76 144 150 154 160 228 274 276 280 300 304	-526964193238
SPT(16)	2562559608594519007	0 22 40 64 66 82 102 112 144 154 174 190 192 216 234 256	-472233467794
SPT(16)	2562560059163420311	0 52 78 88 100 150 156 186 202 232 238 288 300 310 336 388	-21664566490
SPT(16)	2562560142507898867	0 22 34 36 42 46 64 76 90 102 120 124 130 132 144 166	61679912066
SPT(16)	2562560302105398037	0 10 42 72 76 102 136 156 190 210 244 270 274 304 336 346	221277411236
SPT(18)	2562560329458708203	0 8 18 20 36 50 80 84 98 126 140 144 174 188 204 206 216 224	248630721402
STPT(10)	2562560480004087707	0 2 42 44 72 74 102 104 144 146	399176100906
SPT(16)	2562560568052109687	0 2 54 60 66 72 96 122 144 170 194 200 206 212 264 266	487224122886