Prime p₀= 812431566970810679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 34 2 88 2 22 2 4 2 (?)
a_n: 0 2 72 74 102 104 138 140 228 230 252 254 258 260
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: Rhodan71
db: batch=73, k=14, 70 28 34 88 22 4

SPT(16)	812430561334419637	0 12 16 52 54 60 64 82 84 102 106 112 114 150 154 166	-1005636391042
STPT(10)	812430579973429127	0 2 60 62 72 74 84 86 144 146	-986997381552
TPT(14)	812430585117600149	0 2 30 32 42 44 72 74 180 182 198 200 240 242	-981853210530
SPT(16)	812430912842893319	0 68 114 134 152 174 182 192 320 330 338 360 378 398 444 512	-654127917360
STPT(10)	812431102138611299	0 2 42 44 120 122 198 200 240 242	-464832199380
SPT(16)	812431113781073711	0 12 26 36 78 96 108 122 126 140 152 170 212 222 236 248	-453189736968
SPT(16)	812431584025404433	0 24 28 46 48 84 90 96 208 214 220 256 258 276 280 304	17054593754
STPT(12)	812431701597890051	0 2 18 20 30 32 138 140 150 152 168 170	134627079372
SPT(16)	812431889600880707	0 30 44 114 134 170 182 210 224 252 264 300 320 390 404 434	322630070028
STPT(12)	812431982856116219	0 2 18 20 42 44 78 80 102 104 120 122	415885305540
SPT(16)	812432004373421699	0 2 68 72 80 98 138 152 198 212 252 270 278 282 348 350	437402611020