Prime p₀= 2040308223038828591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 28 2 70 2 40 2 76 2 16 2 (?)
a_n: 0 2 156 158 186 188 258 260 300 302 378 380 396 398
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: 398
Found by: conf [MM]
db: batch=80, k=14, 154 28 70 40 76 16

TPT(14)	2040306281453860919	0 2 48 50 90 92 252 254 300 302 312 314 438 440	-1941584967672
SPT(16)	2040306499515954601	0 18 22 46 72 106 120 126 142 148 162 196 222 246 250 268	-1723522873990
SPT(16)	2040306784990720069	0 40 90 124 148 204 250 264 274 288 334 390 414 448 498 538	-1438048108522
SPT(16)	2040306818604599977	0 6 34 42 60 112 126 160 186 220 234 286 304 312 340 346	-1404434228614
STPT(10)	2040307267772298191	0 2 6 8 18 20 30 32 36 38	-955266530400
SPT(16)	2040307605957346277	0 2 60 62 74 90 116 156 170 210 236 252 264 266 324 326	-617081482314
TPT(14)	2040309249187721129	0 2 60 62 90 92 132 134 228 230 270 272 330 332	1026148892538
STPT(10)	2040309369949189481	0 2 6 8 18 20 30 32 36 38	1146910360890
TPT(14)	2040309501780758771	0 2 6 8 78 80 90 92 96 98 138 140 180 182	1278741930180
STPT(10)	2040309813960726359	0 2 18 20 30 32 42 44 60 62	1590921897768
STPT(10)	2040309966643888337	0 2 30 32 72 74 114 116 144 146	1743605059746