Prime p₀= 798756827948700317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 16 2 46 2 88 2 70 2 (?)
a_n: 0 2 30 32 114 116 132 134 180 182 270 272 342 344
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: 344
Found by: declis
db: batch=73, k=14, 28 82 16 46 88 70

TPT(14)	798755798157100739	0 2 90 92 132 134 138 140 180 182 222 224 282 284	-1029791599578
STPT(10)	798756092891878799	0 2 18 20 30 32 42 44 60 62	-735056821518
TPT(14)	798756101823748529	0 2 30 32 60 62 102 104 108 110 168 170 312 314	-726124951788
SPT(16)	798756289449171061	0 60 82 88 106 112 136 156 472 492 516 522 540 546 568 628	-538499529256
STPT(10)	798756507667239239	0 2 18 20 30 32 42 44 60 62	-320281461078
STPT(10)	798756662955229787	0 2 54 56 72 74 90 92 144 146	-164993470530
STPT(10)	798756970344569441	0 2 6 8 18 20 30 32 36 38	142395869124
SPT(16)	798756981575503781	0 6 12 26 42 48 62 78 80 96 110 116 132 146 152 158	153626803464
STPT(10)	798757120919430809	0 2 12 14 90 92 168 170 180 182	292970730492
STPT(10)	798757140250375847	0 2 30 32 72 74 114 116 144 146	312301675530
SPT(18)	798757942813747519	0 18 28 114 124 130 208 210 228 304 322 324 402 408 418 504 514 532	1114865047202