Prime p₀= 1400748297678827369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 40 2 10 2 58 2 28 2 (?)
a_n: 0 2 60 62 138 140 180 182 192 194 252 254 282 284
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: 284
Found by: phoenicis
db: batch=78, k=14, 58 76 40 10 58 28

SPT(16)	1400746674932777317	0 6 40 70 90 106 172 190 192 210 276 292 312 342 376 382	-1622746050052
STPT(10)	1400746685271123719	0 2 12 14 90 92 168 170 180 182	-1612407703650
SPT(16)	1400746711111079099	0 8 18 92 140 150 158 188 264 294 302 312 360 434 444 452	-1586567748270
STPT(10)	1400747632022141327	0 2 12 14 42 44 72 74 84 86	-665656686042
SPT(16)	1400747773687971409	0 4 18 24 54 60 70 148 270 348 358 364 394 400 414 418	-523990855960
SPT(16)	1400748194059289269	0 24 52 64 78 102 108 160 162 214 220 244 258 270 298 322	-103619538100
STPT(10)	1400748354567214031	0 2 36 38 78 80 120 122 156 158	56888386662
SPT(16)	1400748567415410319	0 10 12 28 42 78 82 108 112 138 142 178 192 208 210 220	269736582950
SPT(16)	1400748807688829021	0 2 38 96 140 150 212 230 258 276 338 348 392 450 486 488	510010001652
SPT(16)	1400748843561488713	0 4 10 28 36 70 130 136 138 144 204 238 246 264 270 274	545882661344
SPT(16)	1400749096793687429	0 12 38 50 54 60 90 120 122 152 182 188 192 204 230 242	799114860060