Prime p₀= 1491404787416743181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 10 2 88 2 64 2 70 2 (?)
a_n: 0 2 66 68 78 80 90 92 180 182 246 248 318 320
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: 320
Found by: Theadalus
db: batch=78, k=14, 64 10 10 88 64 70

SPT(16)	1491403881090029453	0 8 30 60 66 74 98 140 144 186 210 218 224 254 276 284	-906326713728
STPT(10)	1491403982384440679	0 2 42 44 60 62 78 80 120 122	-805032302502
SPT(16)	1491404276557432591	0 6 16 22 40 100 106 112 126 132 138 198 216 222 232 238	-510859310590
STPT(10)	1491404338327110239	0 2 48 50 90 92 132 134 180 182	-449089632942
STPT(10)	1491404407636834967	0 2 90 92 150 152 210 212 300 302	-379779908214
SPT(16)	1491404653056989947	0 22 40 64 70 124 160 180 184 204 240 294 300 324 342 364	-134359753234
SPT(16)	1491404957325169847	0 114 140 162 200 224 240 272 312 344 360 384 422 444 470 584	169908426666
STPT(10)	1491405513063822857	0 2 54 56 72 74 90 92 144 146	725647079676
SPT(16)	1491405589818037427	0 14 24 122 186 200 216 224 252 260 276 290 354 452 462 476	802401294246
STPT(10)	1491405631622227439	0 2 18 20 30 32 42 44 60 62	844205484258
SPT(16)	1491405761769745127	0 26 56 62 80 102 132 146 180 194 224 246 264 270 300 326	974353001946