Prime p₀= 1491420448039589129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 94 2 58 2 178 2 28 2 22 2 (?)
a_n: 0 2 72 74 168 170 228 230 408 410 438 440 462 464
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: 464
Found by: vinn@[CNT]
db: batch=78, k=14, 70 94 58 178 28 22

SPT(16)	1491419068734096269	0 18 50 54 78 120 140 144 158 162 182 224 248 252 284 302	-1379305492860
STPT(10)	1491419482702165571	0 2 36 38 78 80 120 122 156 158	-965337423558
STPT(10)	1491419546589984761	0 2 36 38 78 80 120 122 156 158	-901449604368
SPT(16)	1491419782062276257	0 2 14 42 74 104 122 132 182 192 210 240 272 300 312 314	-665977312872
SPT(16)	1491420169859732179	0 34 60 70 84 88 148 168 244 264 324 328 342 352 378 412	-278179856950
SPT(16)	1491420332425426759	0 12 30 100 108 130 178 198 322 342 390 412 420 490 508 520	-115614162370
SPT(18)	1491421784473751393	0 44 68 168 170 174 194 224 258 266 300 330 350 354 356 456 480 524	1336434162264
SPT(16)	1491421816098542917	0 42 54 64 70 96 102 112 114 124 130 156 162 172 184 226	1368058953788
STPT(10)	1491421986934499357	0 2 84 86 132 134 180 182 264 266	1538894910228
STPT(10)	1491422255574215051	0 2 6 8 48 50 90 92 96 98	1807534625922
SPT(16)	1491422341319435531	0 32 96 138 152 156 200 248 270 318 362 366 380 422 486 518	1893279846402