Prime p₀= 1404038125797363167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 76 2 58 2 22 2 76 2 10 2 (?)
a_n: 0 2 72 74 150 152 210 212 234 236 312 314 324 326
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: 326
Found by: matali
db: batch=78, k=14, 70 76 58 22 76 10

SPT(16)	1404036917887916041	0 10 36 46 72 78 130 136 162 168 220 226 252 262 288 298	-1207909447126
SPT(16)	1404037275969300799	0 4 12 52 82 154 180 222 280 322 348 420 450 490 498 502	-849828062368
STPT(10)	1404037380198317867	0 2 30 32 72 74 114 116 144 146	-745599045300
STPT(10)	1404037541115216149	0 2 18 20 30 32 42 44 60 62	-584682147018
STPT(10)	1404037791712342559	0 2 48 50 90 92 132 134 180 182	-334085020608
SPT(16)	1404037956052371371	0 6 8 50 90 98 110 116 162 168 180 188 228 270 272 278	-169744991796
SPT(16)	1404038234396010667	0 94 102 112 124 154 172 282 292 402 420 450 462 472 480 574	108598647500
SPT(16)	1404038414837212939	0 30 72 82 100 148 198 210 250 262 312 360 378 388 430 460	289039849772
TPT(14)	1404038594812751759	0 2 30 32 78 80 120 122 210 212 288 290 330 332	469015388592
TPT(14)	1404038629037167307	0 2 60 62 90 92 132 134 162 164 174 176 240 242	503239804140
STPT(10)	1404038747107541297	0 2 30 32 42 44 54 56 84 86	621310178130