Prime p₀= 2570370489793072607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 46 2 76 2 70 2 10 2 (?)
a_n: 0 2 42 44 54 56 102 104 180 182 252 254 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 40 10 46 76 70 10

SPT(16)	2570369104536784597	0 12 16 34 54 102 106 120 166 180 184 232 252 270 274 286	-1385256288010
SPT(16)	2570369354622361727	0 14 30 36 50 74 84 102 224 242 252 276 290 296 312 326	-1135170710880
SPT(16)	2570369774445344951	0 2 6 48 80 126 146 206 252 312 332 378 410 452 456 458	-715347727656
STPT(10)	2570370166400148479	0 2 12 14 90 92 168 170 180 182	-323392924128
SPT(16)	2570370375721610491	0 28 30 40 60 82 100 120 130 150 168 190 210 220 222 250	-114071462116
SPT(16)	2570370425589177181	0 22 36 40 48 66 138 150 178 190 262 280 288 292 306 328	-64203895426
STPT(10)	2570371064097200237	0 2 30 32 42 44 54 56 84 86	574304127630
SPT(16)	2570371068443559509	0 14 24 38 50 62 78 90 122 134 150 162 174 188 198 212	578650486902
SPT(16)	2570371519358336299	0 22 34 40 48 64 78 84 118 124 138 154 162 168 180 202	1029565263692
SPT(16)	2570371589406338359	0 10 102 178 220 228 250 292 318 360 382 390 432 508 600 610	1099613265752
SPT(16)	2570371949445785897	0 12 62 74 90 144 152 240 266 354 362 416 432 444 494 506	1459652713290